This document provides an overview of electromagnetism and magnetic circuits. It begins by explaining some key electromagnetic principles such as how electric currents generate magnetic fields and how electromagnets work. It then discusses magnetic fields and flux in more detail. This includes the right hand rule, properties of coils, permeability, reluctance, magnetomotive force, and Ampere's and Faraday's laws. Magnetic circuits are also analyzed using an analogy to electric circuits. Several examples are provided to illustrate how to calculate values like magnetic field strength, flux density, and coil current required to achieve a given flux.
Physics Class X Electric Current
Contents
1 Electricity
2 Electric Current
3 Electric Potential & Potential Difference
4 Electromotive Force (emf)
5 Electric Circuit and components
6 Current and Voltage Measurements
7 OHM’s Law
8 Factors Affecting Resistance
9 Combination of Resistors(Series & Parallel)
10 Heating Effect of Electricity and its apps.
Questões Corrigidas, em Word: Geradores e Receptores - Conteúdo vinculado a...Rodrigo Penna
Este arquivo faz parte do banco de materiais do Blog Física no Enem: http://fisicanoenem.blogspot.com/ . A ideia é aumentar este banco, aos poucos e na medida do possível. Para isto, querendo ajudar, se houver erros, avise-nos: serão corrigidos. Lembre-se que em Word costumam ocorrer problemas de formatação. Se quiser contribuir ainda mais para o banco, envie a sua contribuição, em Word, o mais detalhada possível para ser capaz de Ensinar a quem precisa Aprender. Ela será disponibilizada também, com a devida referência ao autor. Pode ser uma questão resolvida, uma apostila, uma aula em PowerPoint, o link de onde você a colocou, se já estiver na rede. Comente à vontade no blog. Afinal, é justamente assim que ensinamos a nossos alunos.
Physics Class X Electric Current
Contents
1 Electricity
2 Electric Current
3 Electric Potential & Potential Difference
4 Electromotive Force (emf)
5 Electric Circuit and components
6 Current and Voltage Measurements
7 OHM’s Law
8 Factors Affecting Resistance
9 Combination of Resistors(Series & Parallel)
10 Heating Effect of Electricity and its apps.
Questões Corrigidas, em Word: Geradores e Receptores - Conteúdo vinculado a...Rodrigo Penna
Este arquivo faz parte do banco de materiais do Blog Física no Enem: http://fisicanoenem.blogspot.com/ . A ideia é aumentar este banco, aos poucos e na medida do possível. Para isto, querendo ajudar, se houver erros, avise-nos: serão corrigidos. Lembre-se que em Word costumam ocorrer problemas de formatação. Se quiser contribuir ainda mais para o banco, envie a sua contribuição, em Word, o mais detalhada possível para ser capaz de Ensinar a quem precisa Aprender. Ela será disponibilizada também, com a devida referência ao autor. Pode ser uma questão resolvida, uma apostila, uma aula em PowerPoint, o link de onde você a colocou, se já estiver na rede. Comente à vontade no blog. Afinal, é justamente assim que ensinamos a nossos alunos.
Class 11 important questions for physics Magnetic Effect of Electric CurrentInfomatica Academy
Here you can get Class 11 Important Questions for Physics based on NCERT Textbook for Class XI. Physics Class 11 Important Questions are very helpful to score high marks in board exams. Here we have covered Important Questions on Magnetic Effect of Electric Current for Class 11 Physics subject.
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Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
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Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
Honest Reviews of Tim Han LMA Course Program.pptxtimhan337
Personal development courses are widely available today, with each one promising life-changing outcomes. Tim Han’s Life Mastery Achievers (LMA) Course has drawn a lot of interest. In addition to offering my frank assessment of Success Insider’s LMA Course, this piece examines the course’s effects via a variety of Tim Han LMA course reviews and Success Insider comments.
A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
Acetabularia Information For Class 9 .docxvaibhavrinwa19
Acetabularia acetabulum is a single-celled green alga that in its vegetative state is morphologically differentiated into a basal rhizoid and an axially elongated stalk, which bears whorls of branching hairs. The single diploid nucleus resides in the rhizoid.
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
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for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
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2. Aim: impart an understanding of
electromagnetic principles
Important as electromagnetism underpins
the operation of many electrical machines
Linkage between electrical and
mechanical worlds
Dr. Mohd Junaidi Abdul Aziz
Electromagnetism
3. Describes the relationship between
electricity and magnetism
Is essentially the foundation for all of
electrical engineering
Use electromagnets to generate electricity,
store memory on our computers, generate
pictures on a television screen, diagnose
illnesses,
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
4. Electromagnetism works on the principle that an
electric current through a wire generates a
magnetic field
In a bar magnet, the magnetic field runs from the
north to the south pole.
In a wire, the magnetic field forms around the wire.
If we wrap that wire around a metal object, we can
often magnetize that object. In this way, we can
create an electromagnet.
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
5. Magnetism is a force field that acts
on magnetic materials but not on
other materials.
Magnetic field around a bar magnet
Two “poles” dictated by direction of
the field
Opposite poles attract (aligned
magnetic field)
Same poles repel (opposing
magnetic field)
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
7. Field Detector
Can use a compass to
map out magnetic field
Field forms closed “flux
lines” around the
magnet
Magnetic flux measured
in Webers (Wb)
Symbol
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
8. Magnetic Flux
Magnetic flux lines are assumed to have the following
properties:
Leave the north pole (N) and enter the south pole (S)
of a magnet.
Like magnetic poles repel each other.
Unlike magnetic poles create a force of attraction.
Magnetic lines of force (flux) are assumed to be
continuous loops.
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
9. Magnetic Field conductor
A magnetic field also forms
round a conductor along
which a current is flowing
Field can be described using
“right hand screw rule”
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
10. Right Hand Rule
Thumb indicates
direction of
current flow
Finger curl
indicates the
direction of field
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
11. Wire Coil
Notice that a coil
of wire will
produce a
perpendicular
field
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
12. Magnetic Field: Coil
A series of coils produces a field
similar to a bar magnet – but weaker!
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
13. Magnetic Field : Coil
Placing a ferrous material
inside the coil increases the
magnetic field
Acts to concentrate the field
also notice field lines are
parallel inside ferrous
element
‘flux density’ has increased
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
15. Permeability μ is a measure of the ease by
which a magnetic flux can pass through a
material (Wb/Am)
Permeability of free space μo = 4π x 10-7
(Wb/Am)
Relative permeability:
Electromagnetism- Permeability
Dr. Mohd Junaidi Abdul Aziz
16. Reluctance: “resistance” to
flow of magnetic flux
@
Associated with “magnetic circuit” –
flux equivalent to current
What’s equivalent of voltage?
Electromagnetism- Reluctance
Dr. Mohd Junaidi Abdul Aziz
A
l
S
r
0
17. Magnetomotive Force
Coil generates magnetic
field in ferrous toroidal
Driving force F needed to
overcome toroidal
reluctance
Magnetic equivalent of
ohms law
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
19. Magnetomotive Force (MMF)
The MMF is generated by the coil
Strength related to number of turns and
current, measured in Ampere turns (At)
Electromagnetism- Magnetomotive Force
Dr. Mohd Junaidi Abdul Aziz
20. • The longer the magnetic path the greater the
MMF required to drive the flux
• Magnetomotive force per unit length is known as
the “magnetizing force” H
• Magnetizing force and flux density related by:
Electromagnetism- Field Intensity
Dr. Mohd Junaidi Abdul Aziz
21. B(T)
H(A/m)
Magnetization curve (B-H characteristic)
Saturation
H
B r
0
Free space, electrical conductors (aluminium or copper), insulators:
= unity.
Ferromagnetic materials (iron, cobalt and nickel):
= several hundred - several thousand
A large value of : a small current can produce a large flux density
r
r
r
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
22. Magnetic Field Intensity and Ampère’s
Law
H
B
Am
Wb
10
4 7
0
0
r
Ampère’s Law:
i
dl
H
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
23. Flux Linkages and Faraday’s Law
A
B d
A
N
Faraday’s law of magnetic induction:
dt
d
e
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
27. Lenz’s Law states that the polarity of the
induced voltage is such that the voltage
would produce a current (through an
external resistance) that opposes the
original change in flux linkages
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
28. Lenz’s Law
Voltages Induced in Field-Cutting Conductors
Blu
e
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
29. In many engineering applications, we need
to compute the magnetic fields for
structures that lack sufficient symmetry for
straight-forward application of Ampère’s
law. Then, we use an approximate method
known as magnetic-circuit analysis.
Electromagnetism- magnetic circuit
Dr. Mohd Junaidi Abdul Aziz
30. Advantage of the Magnetic-Circuit
Approach is that it can be applied to
unsymmetrical magnetic cores with
multiple coils.
Electromagnetism- magnetic circuit
Dr. Mohd Junaidi Abdul Aziz
31.
32. Magnetic leakage and Fringing
• Magnetic leakage/ leakage flux
• Flux not passing through in the magnetic material or in air
gap
» In air gap – useful fluxs
• Occurs at the magnetic source
– As shown in Figure 2.a
air gap,
(useful fluxs)
magnetic
Source, NI
useful
fluxs, a
leakage
flux, l
Total
flux, T
leakage_ factor,a =
totalflux
usefulflux
33. 33
Magnetic leakage and Fringing
• Fringing
• Occurs at the air gap
• Flux intends to bulge outwards
» Increasing the effective area
» Reduce the flux density
As shown in Figure 2.a
(still useful flux)
Contoh 1.2 page 1.11, Contoh 1.3 page 1.12,
Contoh 1.4 page 1.14 and Contoh 1.5 page 1.15
35. Magnetic circuit Electric circuit
Term Symbol Term Symbol
Magnetic flux Electric current I
Flux density B Current density J
Magnetic field strength H Electric field strength E
Magnetomotive force F Electromotive force E
Permeability Permittivity e
Reluctance S Resistance R
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
36. Series Magnetic Circuit
with air gap
lc
i
N lg
+
F
-
Sc
Sg
g
g
g
c
c
c
g
g
c
c
g
C
g
0
g
g
c
c
c
c
A
B
;
A
B
density
Flux
l
H
l
H
Ni
S
S
Ni
A
l
S
;
A
l
S
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
37. Series composite magnetic circuit
with different material
i
N
iron steel
cobalt
+
F
-
b
S
a
S
c
S
c
c
b
b
a
a
c
b
a
c
c
c
c
b
b
b
b
a
a
a
a
l
H
l
H
l
H
Ni
S
S
S
Ni
A
l
S
A
l
S
A
l
S
;
;
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
46. Example 3
A coil of 200 turns is wound uniformly over a wooden ring
having a mean circumference of 600mm and a uniform
cross-sectional area of 500mm2. if the current through
the coil is 4A, calculate
(a) the magnetic field strength
(b) the flux density
(c) the total flux
( 1330A/m, 1680µT,0.838µWb)
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
47. Example 4
Calculate the magnetomotive force required to produce a
flux of 0.015Wb across an air gap 2.5mm long, having
effective area of 200cm2
(1492At)
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
48. Example 5
A mild-steel ring having a cross- sectional area of 500
mm2 and a mean circumference 0f 400mm has a coil 0f
200 turns wound uniformly around it. The relative
permeability of the mild steel for the respective flux
density is about 380. Calculate
(a) the reluctance of the ring
(b) the current required to produce a flux of 800µWb in
the ring
(1.68 x 106 At/Wb, 6.7A)
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
49. Example 6
The Figure represents the magnetic
circuit of a relay. The coil has 500
turns and the mean core path is lc =
360 mm. When the air-gap lengths
are 1.5 mm each, a flux density of
0.8 Tesla is required to actuate the
relay. The core is cast steel with the
field intensity 510 At/m. Find the
current in the coil.
(4.19 A)
Compute the values of permeability
and relative permeability of the core.
(1.57 x 10-3 Wb/Am, 1250 Wb/Am)
If the air-gap is zero, find the current
in the coil for the same flux density
(0.8 T) in the core. (0.368 A)
i
N
Movable
part
lg
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
50. Example 7
A magnetic circuit comprises three parts in series
each of uniform cross-sectional area (A). They are:
(a) a length of 80 mm and A= 50 mm2
(b) a length of 60 mm and A = 90 mm2
(c) an air gap of length 0.5 mm and A = 150 mm2
A coil of 4000 turns is wound on part (b) and the flux density in the
air gap is 0.3 T. Assuming that all the flux passes through the given
circuit, and the relative permeability is 1300, estimate the coil current
to produce such a flux density
(45.43mA)
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
51. Series Parallel Magnetic Circuit
i
N
2
+
F
-
1 2
1
3
S 2
S
2
2
3
3
3
3
1
1
3
2
1
l
H
l
H
2
loop
l
H
l
H
NI
1
loop
Laws
Kirchoff
:
:
:
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
52. Series Parallel
Magnetic Circuit i
N
+
F
-
1 2
1
S
3
S
2
S
2
2
3
3
1
3
3
2
1
3
l
H
l
H
NI
2
loop
l
H
l
H
NI
1
loop
Laws
Kirchoff
:
:
:
`
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
53. Series Parallel
Magnetic Circuit with Air
Gap
i
N
+
F
-
1 2
1
S 3
S
2
S
g
2
2
s
s
3
3
1
1
s
s
3
3
2
1
3
l
H
l
H
l
H
NI
2
loop
l
H
l
H
l
H
NI
1
loop
Laws
Kirchoff
:
:
:
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
54. The relationship between B and H is not linear for the
types of iron used in motors and transformers.
Electromagnetism- magnetic core loss
Dr. Mohd Junaidi Abdul Aziz
56. The relationship between B and H is complicated
by non-linearity and “hysteresis”
Can be used to calculate µ
Electromagnetism- Hysteresis
Dr. Mohd Junaidi Abdul Aziz
59. Field energy
Input power :
Input energy from t1 to t2
where Vcore is the volume of
the core
Electromagnetism- Hysteresis Loss
Dr. Mohd Junaidi Abdul Aziz
60. • One cycle energy loss
where is the closed area of B-H
hysteresis loop
• Hysteresis power loss
where f is the operating frequency and T
is the period
Electromagnetism- Hysteresis Loss
Dr. Mohd Junaidi Abdul Aziz
61. Empirical equation
Summary : Hysteresis loss is proportional to f and
ABH
Electromagnetism- Hysteresis Loss
Dr. Mohd Junaidi Abdul Aziz
62. Eddy current
Along the closed path, apply Faraday's law
where A is the closed area
Changes in B → = BA changes
→induce e.m.f along the closed path
→produce circulating circuit (eddy current) in the core
Eddy current loss
where R is the equivalent resistance along the
closed path
Electromagnetism- Eddy Current Loss
Dr. Mohd Junaidi Abdul Aziz
63. How to reduce Eddy current loss
– Use high resistively core material
e.g. silicon steel, ferrite core (semiconductor)
– Use laminated core
To decrease the area closed
by closed path
Lamination thickness
0.5~5mm for machines, transformers at line frequency
0.01~0.5mm for high frequency devices
Electromagnetism- Eddy Current Loss
Dr. Mohd Junaidi Abdul Aziz
64. Calculation of eddy current loss
– Finite element analysis
Use software: Ansys®, Maxwell®, Femlab®, etc
– Empirical equation
Electromagnetism- Eddy Current Loss
Dr. Mohd Junaidi Abdul Aziz
65. Core Loss
Hysterisis loss
• the loss of power in the core due to the hysterisis effect
• Proportional to frequency
Eddy current loss
• power loss occurs when the flux density changes rapidly in
the core
• Proportional to the square of the frequency
loss
current
eddy
P
loss
hysteresis
P
where
P
P
P
e
h
e
h
c
Electromagnetism- Core Loss
Dr. Mohd Junaidi Abdul Aziz
67. Electromagnetic
Induction
Faraday has made the great
discovery of electromagnet
induction, namely a method of
obtaining an electric current with
the aid of magnetic flux.
When a conductor cuts or is cut
by a magnetic flux, an e.m.f is
generated in the conductor.
S
A B G
G
S N
C
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
68. Direction of e.m.f
Fleming’s right-hand rule
Lenz’s law
• The direction of an induced
e.m.f is always such that it
tends to set up a current
opposing the motion or the
change of flux responsible for
inducing that e.m.f
Thumb
Motion of conductor
First finger
Flux
Second finger
e.m.f
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
69. If a conductor cuts or is cut
by a flux of dΦ webers in dt
seconds, e.m.f generated in
conductor
The average e.m.f induced
in one turn is
e.m.f induced in a coil:
S N
C
X
Motion
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
70. The emf induced in electric circuit
Equating expressions of e.m.f induced in magnetic circuit and
electric circuit:
L is the self-inductance in Henry, or simply the inductance.
For and
dt
d
N
dt
di
L
dt
di
L
e
current
of
change
linkages
flux
of
change
di
d
N
L
A
l
S
r
0
S
F
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
71. Mutual Inductances
S
A B G
Self-inductances of A and B are
S
N
N
I
N
I
N
L A
A
A
A
A
A
A
A
A
2
2
S
N
I
N
L B
B
B
B
B
2
Electromagnetism- Mutual Inductances
Dr. Mohd Junaidi Abdul Aziz
73. Mutual Inductance:
B
AL
L
M
When there is flux leakage occurs
where k = is coupling coefficient = 0 – 1
k = 1 when the magnetic leakage is zero
B
AL
L
k
M
Electromagnetism- Mutual Inductances
Dr. Mohd Junaidi Abdul Aziz
74. Example 8
A ferromagnetic ring of cross-sectional 800mm2 and of
mean radius 170mm has two windings connected in
series, one of 500 turns and one of 700 turns. If the
relative permeability is 1200, calculate the self-
inductance of each coil and the mutual inductance of
each assuming that there is no flux leakage.
( 0.283H, 0.552H, 0.395H)
Electromagnetism- Mutual Inductances
Dr. Mohd Junaidi Abdul Aziz
75. Energy Stored in the Magnetic Field
Consider a current increasing at uniform
rate in a coil having a constant inductance
L henrys.
l
i
N
A
Cross-sectional
area
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
76. Energy Stored in the Magnetic Field
If the current increases by di amperes in
dt seconds, the induced e.m.f
And if i is the value of the current at that
instant, energy absorbed by the magnetic
field during time dt seconds
dt
di
L
e
joules
di
Li
dt
dt
di
iL .
.
.
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
77. Energy Stored in the Magnetic Field
Hence total energy absorbed by the
magnetic field when the current increases
from 0 to I amperes is
joule
LI
E
i
L
di
i
L
E
I
I
2
2
1
0
2
0
2
1
.
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz
78. Energy Stored in the Magnetic Field
Since inductance
Hence
Henry
l
N
A
L
2
l
A
H
I
l
N
A
E
2
2
1
2
2
2
1
?
Electromagnetism
Dr. Mohd Junaidi Abdul Aziz