SlideShare a Scribd company logo
1 of 18
DEPARTMENT OF PHYSICS AND NANOTECHNOLOGY
SRM INSTITUTE OF SCIENCE AND TECHNOLOGY
21PYB101J-Electromagnetic Theory, Quantum Mechanics, Waves
and Optics
Module II- Lecture-3
Hard and soft magnetic materials: Discussion considering magnetization and
application, Energy product-Explanation
Classification of Magnetic Materials
• It has been seen earlier that the permanent magnetic moment is mainly
due to the spin magnetic moment of the electrons. Generally, every two
electrons in an energy state of an atom will form a pair with opposite spins.
• If all the electrons are paired, their spin magnetic moments will be
cancelled and so their net magnetic moment is zero.
• Whereas if there are unpaired electrons in an atom, the spin magnetic
moment of these unpaired electrons interact with the spin magnetic moment
of the unpaired electrons of the adjacent atom, in a parallel manner resulting
in enormous permanent magnetic moment.
So, magnetic materials are broadly classified into two categories, as
follows.
 Those not having any permanent magnetic moment – diamagnetic
materials, and
 Those having permanent magnetic moment, para, ferro, antiferro
and ferrimagnetic materials.
Hard and Soft Magnetic Materials
The magnetic materials are classified into two types, namely, hard and soft
magnetic materials, depending upon the direction of magnetization by an
applied magnetic field.
Soft magnetic materials
The materials, which are easily magnetized and demagnetized, are said to be
soft magnetic materials. In soft materials, the domain walls move easily and
reversibly so that magnetization changes by large amounts for small changes
in the magnetic field.
The soft magnetic material is prepared by heating the pure materials to a
temperature at which sufficient movement of the atoms is possible for them
to settle into an ordered lattice, followed by slow cooling.
Properties
The soft magnetic materials have the following properties
 The nature of the hysteresis loop of a soft magnetic materials is very steep
 The hysteresis area is very small and hence the hysteresis loss is also small.
 The materials have a large value of susceptibility and permeability.
 The resistivities of these materials are very high and hence they have low
eddy current loss.
 These materials are free from irregularities like strain or impurities.
 The magnetostatic energy of a soft magnetic material is very small.
Fig. Hysteresis loop of a soft magnetic
material
Examples
(i) Iron and silicon alloys( silicon steel)
(ii) Nickel-Iron alloy, and
(iii) Iron-cobalt alloy
Applications
(i) Iron-silicon alloy are used in electrical equipment and magnetic cores of
transformers operating at power line frequencies. Silicon steel is also
extensively used in large alternators and high frequency rotating machines.
(i) Nickel alloys are used in high frequency devices such as high –speed relays,
wide band transformers and inductors. They are also used to manufacture small
motors and synchros. They are also used for precision current and voltage
transformers, and inductive potentiometers.
Hard Magnetic Materials
 The materials, which are very difficult to magnetize, are said to be hard magnetic
materials. In hard magnetic materials, the rotation of domain wall is very difficult.
 The hard magnetic materials are prepared by heating magnetic materials to the required
temperature and then suddenly cooling them by dipping in a cold liquid. In a hard magnetic
material, the impurities are purposely introduced, to make them hard.
Properties
The properties of hard magnetic materials are listed as follows:
 The nature of the hysteresis curve is very broad and has a large area.
 Since the area of the hysteresis curve is large, the hysteresis loss is also large.
 These materials have low value of susceptibility and permeability.
 The coercivity and retentivity are large.
 The eddy current loss is very large.
 These materials have large amount of impurities and lattice defects the
magneto static energy is very large.
Examples
Carbon steels, tungsten steel, chromium steel, alnico, etc.,
Applications
The carbon steel is used as magnets for toys, compass needle,
latching relays and certain types of meters.
The tungsten steel finds use in d.c meter magnets and in other
devices where comparatively large size is permissible.
Chromium steel is the best permanent magnet.
Fig. Hysteresis loop of a hard magnetic
material
Soft Magnetic Materials Hard Magnetic Materials
Definition: Materials, which are
easy to magnetize and
demagnetize are called soft
magnetic materials.
Definition: Materials, which are
difficult to magnetize and
demagnetize are called soft magnetic
materials.
The nature of the hysteresis loop is
very steep
The nature of the hysteresis loop is
very broad
These materials have small
hysteresis loss due to small
hysteresis loop area.
These materials have large hysteresis
loss due to large hysteresis loop area.
These materials have a large value
of susceptibility and permeability.
These materials have low value of
susceptibility and permeability.
Comparison between soft and hard
magnetic materials
Soft Magnetic Materials Hard Magnetic Materials
The coercivity and retentivity are
small.
The coercivity and retentivity are
large.
The eddy current loss is small due to
their high resistivity.
The eddy current loss is more due to
their small resistivity.
These materials are free from
irregularities like strain or impurities.
These materials have large amount of
impurities and lattice defects.
Its magneto static energy is very
small.
Its magneto static energy is very
large.
Examples: Iron and silicon alloys(
silicon steel), Nickel-Iron alloy and
Iron-cobalt alloy,etc.
Examples: Carbon steels, tungsten
steel, chromium steel, alnico, etc.
Comparison between soft and hard
magnetic materials
Hysteresis Loop
Hysteresis Definition
Hysteresis is the lagging of the magnetization of a ferromagnetic material behind
the magnetizing force H.
In above figure, the specimen is assumed to be unmagnified, and the current is starting
from zero in the center of the graph. As H increases positively, B follows the red dotted curve
from origin to saturation point a, indicated by Bmax.
Hysteresis Loop
As H decreases to zero, the flux follows the curve ab and drops to Br which indicates the
retentively or residual induction. This point represents the amount of flux remaining in the
core after the magnetizing force is removed.
When H starts in the negative direction, the core will lose its magnetism, as shown by
following the curve from point b to c. The amount of magnetizing force required to
completely demagnetize the core is called the coercive force and is designated as –Hc in the
figure.
As the peak of the negative cycle is approached, the flux follows the portion of the curve
labeled cd. Point –Bmax represents saturation in the opposite direction from Bmax . From point
d, the –H value decreases to point e, which corresponds to a zero magnetizing force. Flux –
Br still remains in the core.
Hysteresis Loop
A coercive force of +Hc is required to reduce the core magnetization to zero. As the
magnetic force continues to increase in the positive direction, the portion of the loop from
point f to a is completed. The periodic reversal of the magnetizing force causes the core flux to
repeatedly trace out the hysteresis loop.
Energy Product-Explanation
The product of retentivity (Br) and coercivity (Hc) is known as energy product. It
represents the maximum amount of energy stored in the specimen.
Therefore, for permanent magnets the value of energy product should be very high
as shown in Fig.
hard and soft magnet

More Related Content

What's hot

What's hot (20)

domain theroy
domain theroydomain theroy
domain theroy
 
Magnetic materials
Magnetic materialsMagnetic materials
Magnetic materials
 
Superconductors
SuperconductorsSuperconductors
Superconductors
 
Superconductivity a presentation
Superconductivity a presentationSuperconductivity a presentation
Superconductivity a presentation
 
(8) Anti-ferromagnetism, ferrimagnetism.pptx
(8) Anti-ferromagnetism, ferrimagnetism.pptx(8) Anti-ferromagnetism, ferrimagnetism.pptx
(8) Anti-ferromagnetism, ferrimagnetism.pptx
 
Supercapacitors ppt hhd
Supercapacitors ppt hhdSupercapacitors ppt hhd
Supercapacitors ppt hhd
 
Nanomaterials for supercapacitors
Nanomaterials for supercapacitorsNanomaterials for supercapacitors
Nanomaterials for supercapacitors
 
para magnetism And Di magnetism
para magnetism And Di magnetism para magnetism And Di magnetism
para magnetism And Di magnetism
 
Nano Ball Milling
Nano Ball MillingNano Ball Milling
Nano Ball Milling
 
Ferrites
Ferrites Ferrites
Ferrites
 
Piezoelectric ceramic
Piezoelectric ceramicPiezoelectric ceramic
Piezoelectric ceramic
 
Metallic Glasses(Physics)
Metallic Glasses(Physics)Metallic Glasses(Physics)
Metallic Glasses(Physics)
 
Magnetic materials
Magnetic materialsMagnetic materials
Magnetic materials
 
Magnetic materials
Magnetic materialsMagnetic materials
Magnetic materials
 
TYPES OF POLARIZATION
TYPES OF POLARIZATION TYPES OF POLARIZATION
TYPES OF POLARIZATION
 
CURIE TEMPERATURE PPT
CURIE TEMPERATURE PPTCURIE TEMPERATURE PPT
CURIE TEMPERATURE PPT
 
Magnetic materials
Magnetic materialsMagnetic materials
Magnetic materials
 
MAGNETIC PROPERTIES
MAGNETIC PROPERTIESMAGNETIC PROPERTIES
MAGNETIC PROPERTIES
 
Fundamenals of magnetism and applications
Fundamenals of magnetism and applicationsFundamenals of magnetism and applications
Fundamenals of magnetism and applications
 
weiss molecular theory of ferromagnetism
weiss molecular theory of ferromagnetismweiss molecular theory of ferromagnetism
weiss molecular theory of ferromagnetism
 

Similar to hard and soft magnet

magnetic Hystersis magnetic Hystersis magnetic Hystersis magnetic Hystersis
magnetic Hystersis magnetic Hystersis magnetic Hystersis magnetic Hystersismagnetic Hystersis magnetic Hystersis magnetic Hystersis magnetic Hystersis
magnetic Hystersis magnetic Hystersis magnetic Hystersis magnetic Hystersis
Merwyn Jasper D Reuben
 
magnetic materials (160760109010)
  magnetic materials (160760109010)  magnetic materials (160760109010)
magnetic materials (160760109010)
Ronak Dhola
 

Similar to hard and soft magnet (20)

EEE 6
EEE 6EEE 6
EEE 6
 
Which material is good for magnetization?
Which material is good for magnetization?Which material is good for magnetization?
Which material is good for magnetization?
 
Magnetic Materials - PPT.pdf
Magnetic Materials - PPT.pdfMagnetic Materials - PPT.pdf
Magnetic Materials - PPT.pdf
 
Magnetic Materials, Properties of magnetic materials and it's application
Magnetic Materials, Properties of magnetic materials and it's applicationMagnetic Materials, Properties of magnetic materials and it's application
Magnetic Materials, Properties of magnetic materials and it's application
 
pp05-1.ppt
pp05-1.pptpp05-1.ppt
pp05-1.ppt
 
domain theory hysteresis loop and magnetioresistance.pptx
domain theory hysteresis loop and magnetioresistance.pptxdomain theory hysteresis loop and magnetioresistance.pptx
domain theory hysteresis loop and magnetioresistance.pptx
 
magnetic properties
magnetic propertiesmagnetic properties
magnetic properties
 
magnetic Hystersis magnetic Hystersis magnetic Hystersis magnetic Hystersis
magnetic Hystersis magnetic Hystersis magnetic Hystersis magnetic Hystersismagnetic Hystersis magnetic Hystersis magnetic Hystersis magnetic Hystersis
magnetic Hystersis magnetic Hystersis magnetic Hystersis magnetic Hystersis
 
Lecture 20
Lecture 20Lecture 20
Lecture 20
 
Introduction about magnetic material and its properties
Introduction about magnetic material and its propertiesIntroduction about magnetic material and its properties
Introduction about magnetic material and its properties
 
Understanding Cores, Chokes, And Losses
Understanding Cores, Chokes, And LossesUnderstanding Cores, Chokes, And Losses
Understanding Cores, Chokes, And Losses
 
Multiferroic project literature survey
Multiferroic project literature surveyMultiferroic project literature survey
Multiferroic project literature survey
 
sizedependentproperties.pptx
sizedependentproperties.pptxsizedependentproperties.pptx
sizedependentproperties.pptx
 
types of magnets
types of  magnetstypes of  magnets
types of magnets
 
magnetic materials (160760109010)
  magnetic materials (160760109010)  magnetic materials (160760109010)
magnetic materials (160760109010)
 
Hysteresis
HysteresisHysteresis
Hysteresis
 
magneticmaterials-200517145355.pdf
magneticmaterials-200517145355.pdfmagneticmaterials-200517145355.pdf
magneticmaterials-200517145355.pdf
 
Physics
PhysicsPhysics
Physics
 
Solid State Physics
Solid State PhysicsSolid State Physics
Solid State Physics
 
Hysteresis Loop
Hysteresis LoopHysteresis Loop
Hysteresis Loop
 

Recently uploaded

result management system report for college project
result management system report for college projectresult management system report for college project
result management system report for college project
Tonystark477637
 

Recently uploaded (20)

MANUFACTURING PROCESS-II UNIT-2 LATHE MACHINE
MANUFACTURING PROCESS-II UNIT-2 LATHE MACHINEMANUFACTURING PROCESS-II UNIT-2 LATHE MACHINE
MANUFACTURING PROCESS-II UNIT-2 LATHE MACHINE
 
(SHREYA) Chakan Call Girls Just Call 7001035870 [ Cash on Delivery ] Pune Esc...
(SHREYA) Chakan Call Girls Just Call 7001035870 [ Cash on Delivery ] Pune Esc...(SHREYA) Chakan Call Girls Just Call 7001035870 [ Cash on Delivery ] Pune Esc...
(SHREYA) Chakan Call Girls Just Call 7001035870 [ Cash on Delivery ] Pune Esc...
 
Introduction to IEEE STANDARDS and its different types.pptx
Introduction to IEEE STANDARDS and its different types.pptxIntroduction to IEEE STANDARDS and its different types.pptx
Introduction to IEEE STANDARDS and its different types.pptx
 
Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...
Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...
Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...
 
UNIT - IV - Air Compressors and its Performance
UNIT - IV - Air Compressors and its PerformanceUNIT - IV - Air Compressors and its Performance
UNIT - IV - Air Compressors and its Performance
 
result management system report for college project
result management system report for college projectresult management system report for college project
result management system report for college project
 
MANUFACTURING PROCESS-II UNIT-5 NC MACHINE TOOLS
MANUFACTURING PROCESS-II UNIT-5 NC MACHINE TOOLSMANUFACTURING PROCESS-II UNIT-5 NC MACHINE TOOLS
MANUFACTURING PROCESS-II UNIT-5 NC MACHINE TOOLS
 
Introduction and different types of Ethernet.pptx
Introduction and different types of Ethernet.pptxIntroduction and different types of Ethernet.pptx
Introduction and different types of Ethernet.pptx
 
Coefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptxCoefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptx
 
(INDIRA) Call Girl Aurangabad Call Now 8617697112 Aurangabad Escorts 24x7
(INDIRA) Call Girl Aurangabad Call Now 8617697112 Aurangabad Escorts 24x7(INDIRA) Call Girl Aurangabad Call Now 8617697112 Aurangabad Escorts 24x7
(INDIRA) Call Girl Aurangabad Call Now 8617697112 Aurangabad Escorts 24x7
 
Online banking management system project.pdf
Online banking management system project.pdfOnline banking management system project.pdf
Online banking management system project.pdf
 
Russian Call Girls in Nagpur Grishma Call 7001035870 Meet With Nagpur Escorts
Russian Call Girls in Nagpur Grishma Call 7001035870 Meet With Nagpur EscortsRussian Call Girls in Nagpur Grishma Call 7001035870 Meet With Nagpur Escorts
Russian Call Girls in Nagpur Grishma Call 7001035870 Meet With Nagpur Escorts
 
ONLINE FOOD ORDER SYSTEM PROJECT REPORT.pdf
ONLINE FOOD ORDER SYSTEM PROJECT REPORT.pdfONLINE FOOD ORDER SYSTEM PROJECT REPORT.pdf
ONLINE FOOD ORDER SYSTEM PROJECT REPORT.pdf
 
Call Girls Service Nagpur Tanvi Call 7001035870 Meet With Nagpur Escorts
Call Girls Service Nagpur Tanvi Call 7001035870 Meet With Nagpur EscortsCall Girls Service Nagpur Tanvi Call 7001035870 Meet With Nagpur Escorts
Call Girls Service Nagpur Tanvi Call 7001035870 Meet With Nagpur Escorts
 
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
 
CCS335 _ Neural Networks and Deep Learning Laboratory_Lab Complete Record
CCS335 _ Neural Networks and Deep Learning Laboratory_Lab Complete RecordCCS335 _ Neural Networks and Deep Learning Laboratory_Lab Complete Record
CCS335 _ Neural Networks and Deep Learning Laboratory_Lab Complete Record
 
University management System project report..pdf
University management System project report..pdfUniversity management System project report..pdf
University management System project report..pdf
 
Top Rated Pune Call Girls Budhwar Peth ⟟ 6297143586 ⟟ Call Me For Genuine Se...
Top Rated  Pune Call Girls Budhwar Peth ⟟ 6297143586 ⟟ Call Me For Genuine Se...Top Rated  Pune Call Girls Budhwar Peth ⟟ 6297143586 ⟟ Call Me For Genuine Se...
Top Rated Pune Call Girls Budhwar Peth ⟟ 6297143586 ⟟ Call Me For Genuine Se...
 
(ANVI) Koregaon Park Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(ANVI) Koregaon Park Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...(ANVI) Koregaon Park Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(ANVI) Koregaon Park Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
 
UNIT-II FMM-Flow Through Circular Conduits
UNIT-II FMM-Flow Through Circular ConduitsUNIT-II FMM-Flow Through Circular Conduits
UNIT-II FMM-Flow Through Circular Conduits
 

hard and soft magnet

  • 1. DEPARTMENT OF PHYSICS AND NANOTECHNOLOGY SRM INSTITUTE OF SCIENCE AND TECHNOLOGY 21PYB101J-Electromagnetic Theory, Quantum Mechanics, Waves and Optics Module II- Lecture-3 Hard and soft magnetic materials: Discussion considering magnetization and application, Energy product-Explanation
  • 2. Classification of Magnetic Materials • It has been seen earlier that the permanent magnetic moment is mainly due to the spin magnetic moment of the electrons. Generally, every two electrons in an energy state of an atom will form a pair with opposite spins. • If all the electrons are paired, their spin magnetic moments will be cancelled and so their net magnetic moment is zero. • Whereas if there are unpaired electrons in an atom, the spin magnetic moment of these unpaired electrons interact with the spin magnetic moment of the unpaired electrons of the adjacent atom, in a parallel manner resulting in enormous permanent magnetic moment.
  • 3. So, magnetic materials are broadly classified into two categories, as follows.  Those not having any permanent magnetic moment – diamagnetic materials, and  Those having permanent magnetic moment, para, ferro, antiferro and ferrimagnetic materials.
  • 4. Hard and Soft Magnetic Materials The magnetic materials are classified into two types, namely, hard and soft magnetic materials, depending upon the direction of magnetization by an applied magnetic field. Soft magnetic materials The materials, which are easily magnetized and demagnetized, are said to be soft magnetic materials. In soft materials, the domain walls move easily and reversibly so that magnetization changes by large amounts for small changes in the magnetic field. The soft magnetic material is prepared by heating the pure materials to a temperature at which sufficient movement of the atoms is possible for them to settle into an ordered lattice, followed by slow cooling.
  • 5. Properties The soft magnetic materials have the following properties  The nature of the hysteresis loop of a soft magnetic materials is very steep  The hysteresis area is very small and hence the hysteresis loss is also small.  The materials have a large value of susceptibility and permeability.  The resistivities of these materials are very high and hence they have low eddy current loss.  These materials are free from irregularities like strain or impurities.  The magnetostatic energy of a soft magnetic material is very small.
  • 6. Fig. Hysteresis loop of a soft magnetic material Examples (i) Iron and silicon alloys( silicon steel) (ii) Nickel-Iron alloy, and (iii) Iron-cobalt alloy
  • 7. Applications (i) Iron-silicon alloy are used in electrical equipment and magnetic cores of transformers operating at power line frequencies. Silicon steel is also extensively used in large alternators and high frequency rotating machines. (i) Nickel alloys are used in high frequency devices such as high –speed relays, wide band transformers and inductors. They are also used to manufacture small motors and synchros. They are also used for precision current and voltage transformers, and inductive potentiometers.
  • 8. Hard Magnetic Materials  The materials, which are very difficult to magnetize, are said to be hard magnetic materials. In hard magnetic materials, the rotation of domain wall is very difficult.  The hard magnetic materials are prepared by heating magnetic materials to the required temperature and then suddenly cooling them by dipping in a cold liquid. In a hard magnetic material, the impurities are purposely introduced, to make them hard.
  • 9. Properties The properties of hard magnetic materials are listed as follows:  The nature of the hysteresis curve is very broad and has a large area.  Since the area of the hysteresis curve is large, the hysteresis loss is also large.  These materials have low value of susceptibility and permeability.  The coercivity and retentivity are large.  The eddy current loss is very large.  These materials have large amount of impurities and lattice defects the magneto static energy is very large.
  • 10. Examples Carbon steels, tungsten steel, chromium steel, alnico, etc., Applications The carbon steel is used as magnets for toys, compass needle, latching relays and certain types of meters. The tungsten steel finds use in d.c meter magnets and in other devices where comparatively large size is permissible. Chromium steel is the best permanent magnet.
  • 11. Fig. Hysteresis loop of a hard magnetic material
  • 12. Soft Magnetic Materials Hard Magnetic Materials Definition: Materials, which are easy to magnetize and demagnetize are called soft magnetic materials. Definition: Materials, which are difficult to magnetize and demagnetize are called soft magnetic materials. The nature of the hysteresis loop is very steep The nature of the hysteresis loop is very broad These materials have small hysteresis loss due to small hysteresis loop area. These materials have large hysteresis loss due to large hysteresis loop area. These materials have a large value of susceptibility and permeability. These materials have low value of susceptibility and permeability. Comparison between soft and hard magnetic materials
  • 13. Soft Magnetic Materials Hard Magnetic Materials The coercivity and retentivity are small. The coercivity and retentivity are large. The eddy current loss is small due to their high resistivity. The eddy current loss is more due to their small resistivity. These materials are free from irregularities like strain or impurities. These materials have large amount of impurities and lattice defects. Its magneto static energy is very small. Its magneto static energy is very large. Examples: Iron and silicon alloys( silicon steel), Nickel-Iron alloy and Iron-cobalt alloy,etc. Examples: Carbon steels, tungsten steel, chromium steel, alnico, etc. Comparison between soft and hard magnetic materials
  • 14. Hysteresis Loop Hysteresis Definition Hysteresis is the lagging of the magnetization of a ferromagnetic material behind the magnetizing force H. In above figure, the specimen is assumed to be unmagnified, and the current is starting from zero in the center of the graph. As H increases positively, B follows the red dotted curve from origin to saturation point a, indicated by Bmax.
  • 15. Hysteresis Loop As H decreases to zero, the flux follows the curve ab and drops to Br which indicates the retentively or residual induction. This point represents the amount of flux remaining in the core after the magnetizing force is removed. When H starts in the negative direction, the core will lose its magnetism, as shown by following the curve from point b to c. The amount of magnetizing force required to completely demagnetize the core is called the coercive force and is designated as –Hc in the figure. As the peak of the negative cycle is approached, the flux follows the portion of the curve labeled cd. Point –Bmax represents saturation in the opposite direction from Bmax . From point d, the –H value decreases to point e, which corresponds to a zero magnetizing force. Flux – Br still remains in the core.
  • 16. Hysteresis Loop A coercive force of +Hc is required to reduce the core magnetization to zero. As the magnetic force continues to increase in the positive direction, the portion of the loop from point f to a is completed. The periodic reversal of the magnetizing force causes the core flux to repeatedly trace out the hysteresis loop.
  • 17. Energy Product-Explanation The product of retentivity (Br) and coercivity (Hc) is known as energy product. It represents the maximum amount of energy stored in the specimen. Therefore, for permanent magnets the value of energy product should be very high as shown in Fig.