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Magnetic Properties
Introduction
โ€ข Magnetism arises from the Magnetic Moment or
Magnetic dipole of Magnetic Materials.
โ€ข When the electrons revolves around the nucleus Orbital
magnetic moment arises, similarly when the electron
spins, spin Magnetic moment arises.
โ€ข The permanent Magnetic Moments can arise due to the
1.The orbital magnetic moment of the electrons
2.The spin magnetic moment of the electrons, and
3.The spin magnetic moment of the nucleus.
Magnetic Induction or Magnetic flux Density
The Magnetic induction in any material is the number
of lines of magnetic force passing through unit area
perpendicularly. Units: Wb/m2
or Tesla.
Magnetic field intensity (H)
The Magnetic field intensity at any point in the
magnetic field is the force experienced by an unit north
pole placed at that point.
Units : A/m
Permeability: ( ยต )
The Magnetic induction B is proportional to the
applied Magnetic field intensity H.
H
B
HB
HB
=
=
ยต
ยต
ฮฑ
Where ยต permeability of a medium
Relative permeability ยตr
The ratio of permeability of medium to
the permeability of free space is called
relative permeability ยตr of the solid.
00
0
B
B
H
B
H
B
r
r
==
=
ยต
ยต
ยต
ยต
Magnetization
โ€ขMagnetization refers to the process of
converting a non-magnetic material into a
Magnetic material.
โ€ขThe intensity of Magnetization is directly
related to the applied field H.
H
M
HM
HM
m
m
=
=
ฯ‡
ฯ‡
ฮฑ
litysusceptibimagnetic
mr
r
r
r
r
r
r
H
M
H
MH
MH
B
H
B
MH
B
MHB
MHB
HHB
HHHB
HB
HB
HB
ฯ‡ยต
ยต
ยต
ยต
ยต
ยต
ยต
ยต
ยตยต
ยตยตยต
ยตยตยตยต
ยตยต
ยต
ฮฑ
+=
+=
+
=
+
โ†’=
+
=
+=
+=
โˆ’+=
โˆ’+=
=
=
1
1
)(
typermeabilirelative
)(
)(
ionmagnetizattheisMWhere
)1(
0
0
0
00
00
000
0
Origin of Magnetic Moment
The Magnetic moment in a material originates from the
orbital motion and spinning motion of electrons in an
atom.
e
ยตlm
Consider an atom & each electron in
that, orbiting around the nucleus
produces a loop current
i = q / t
i = q f
Where f is a frequency of electron..
If L is the angular momentum of
electron, the Magnetic moment of the
electron
ยต = (Area of loop) x (Current)
L
m
q
mvr
m
q
qvr
r
vq
r
q
r
f
q
r
qfr
t
q
r
lm
lm
lm
lm
lm
lm
lm
lm
.
2
.
2
2
)
2
)((
)
2
)((
)2
2
)((
))((
))((
2
2
2
2
2
=
=
=
ร—=
ร—=
ร—=
=
=
ยต
ยต
ยต
ฯ€
ฯ€ยต
ฯ‰
ฯ€
ฯ€ยต
ฯ€
ฯ€
ฯ€ยต
ฯ€ยต
ฯ€ยต
Where L is a Angular Momentum of electron
224
1027408.9
4
),.(.,
)1(.
)1(.
4
2
)1(.
2
.
2
2
)1(
2
mA
m
qh
magnatonBhorwhere
ll
ll
m
qh
h
ll
m
q
L
m
q
h
llmvrL
lh
mvrL
B
Blm
lm
lm
lm
โˆ’ร—โ†’=
+=
+=
+=
=
+==
==
โˆ’
ฯ€
ยต
ยตยต
ฯ€
ยต
ฯ€
ยต
ยต
ฯ€
ฯ€
Classification of Magnetic
Materials
1. Dia
2. Para
3. Ferro
4. Anti Ferro
5. Ferri Magnetic materials.
Hysteresis
The striking property of Ferro Magnetic
materials is the relation between
Magnetization and the strength of
Magnetic field. This property is called
Hysteresis.
P
Q
R
S
H
M
Saturation
Magnetization
Residual
Magnetization
Coercivity
Ferro Magnetic Material
Hs
-Hs
oHc
Ms
Mr
-Ms
โ€ข If we start with no Magnetized specimen
(M= 0) with the increasing values of
magnetizing field H.
โ€ข The Magnetization of the specimen
increases from zero to higher values and
attains its maximum value at a point P, at
this point the Magnetization referred as
Saturation Magnetization..
โ€ข When we increase Magnetic field H
there is no further increment in Magnetic
moment.
โ€ข When we decrease Magnetic field H to
Zero, the Magnetization M attains point
Q.
โ€ข At this point Magnetization referred as
residual Magnetization Mr.
โ€ข Further if we increase the Magnetic field
from zero to negative values, the
Magnetization of material becomes zero
at a point R, at that point the Magnetic
field Hc is referred as Coercivity of the
specimen.
โ€ข If we increase Magnetic field H in reverse
direction Magnetization of material
reaches its peak value at a points S.
โ€ข On reversing the polarities of Magnetic
field and increasing its strength the
Magnetization slowly decreases first to
residual value then to zero and finally
increases to saturation state and
touches the original saturation curve.
โ€ข The area of loop indicates the amount
of energy wasted in one cycle of
operation.
Hard Magnetic Materials
โ€ข Hard magnetic materials have large
hysteresis loss due to large hysteresis
loop area.
โ€ข The Coercivity and retentivity are large
hence these materials cannot be easily
magnetized and demagnetized.
โ€ข These materials have small values of
permeability and susceptibility.
โ€ข These are used to make permanent
magnets.
Ex. Alnico alloy
Soft Magnetic Materials
โ€ข Soft Magnetic materials have low
hysteresis loss due to small hysteresis loop
area.
โ€ข The coercivity and retentivity are small,
hence these materials can be easily
magnetized and demagnetized.
โ€ข These materials have large values of
permeability and susceptibility.
โ€ข These are used to make electromagnets.
Ex: Iron silicon alloys, Ferrous nickel
alloy
Superconductivity
โ€ข Certain metals and alloys exhibit
almost zero resistivity ( infinite
conductivity ) when they are cooled to
sufficiently low temperatures. This
phenomenon is called
Superconductivity.
Meissner Effect
When a weak Magnetic field is applied to a
superconducting specimen at a temperature Tc ,
the magnetic flux lines are expelled & the
specimen acts as an ideal Dia magnet. This
effect is called Meissner effect.
cTT ๏ฆ
PER FECT DIAMAGNATIC MATIRIAL OR SUPER CONDUCTING MATERIAL
MAGANTIC FIELD
B = 0
1
1
0
)(0
0
)(
)(
0
0
0
โˆ’=
โˆ’=
โˆ’=
=+
+=
=
+=
+=
ฯ‡
ยต
ยต
ยต
H
M
MH
MH
MH
B
MHB
MHB
cTT ๏ฐ

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