FORM 6 PHYSICS: ELECTROMAGNETISM PART 3

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CLASSIFICATION OF MAGNETIC MATERIALS
All substances are  affected  by  magnetic field  some  attain  weak  magnetic  properties and  some  acquire  strong  magnetic  properties  and  some  acquire strong  magnetic  properties.

              The  magnetic  properties  of the  substances  are  explained  on the  basis  of  modern atomic  theory.

           The  atoms  that  make  up  any  substance  contain  electrons  that  orbit  around  the  central nucleus.

           Since  the  electrons  are  charged  they  constitute  an  electric  current and  therefore  produce magnetic  field .

          Thus  an atom behave as  a  magnetic   dipole  and possesses magnetic dipole moment.

           The magnetic  properties  of a  substance  depend upon  the  magnetic  moments  of  its  atoms.

IMPORTANT TERMS USED IN MAGNETISM
The following terms are used in describing the magnetic properties of the materials:

(i)     Magnetic  flux  density  (B)

Is  a  measure  of the  number  of  magnetic  field lines passing  per  unit  area  of  the  material.

 The  greater  the  number  of  magnetic field lines  passing  per  unit  are  of the  material

            (ii)    Magnetic  permeability

Is  a  measure  of  its  conductivity  for  magnetic  field  lines

                                       The  greater the  permeability of  the  material  the  greater  is its   conductivity  for  the  magnetic  field  line  and  vice  versa

 Since  magnetic  field  strength B  is  the  magnetic  field  lines passing per  unit  area of the   material, it  is  a measure  of  magnetic  permeability of the  material.

Suppose magnetic flux density in air or vacuum isedu.uptymez.com. If vacuum/air is replaced by a material, suppose the magnetic flux density in the material becomes B

           Then ratio B/edu.uptymez.com called the relative permeability    edu.uptymez.com.   of the material.

(i)    Relative permeabilityedu.uptymez.com.
Is the  ratio of  magnetic  flux  density  B in  that  material  to the  magnetic  flux  density  edu.uptymez.com that  would  be if the  material  were replaced by  vacuum/ air .
edu.uptymez.com

         Clearly edu.uptymez.comis a  pure  number  and  its  value per  vacuum/air   is  1

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  Relative  permeability  of  a  material  may also  be  defined  as the  ratio of  absolute permeability   edu.uptymez.com  of  the  material  to  absolute permeability edu.uptymez.comof vacuum/air.
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(ii)   Magnetizing force/ Magnetic intensity edu.uptymez.com

Is the number of ampere – turns flowing per unit length   of the toroid.

          The  SI  Unit of  magnetizing force  H is  Ampere – turns  per  meter (AT/m)

Consider a toroid with  n turns  per  unit  length carrying  a  current  I. if the  absolute  permeability  of  toroid  material is M, then magnetic  flux  density B in the  material is

edu.uptymez.com

edu.uptymez.com

The quantity edu.uptymez.com is called magnetizing force or magnetic intensity

Therefore, the ratio edu.uptymez.com  in a material I is   from

edu.uptymez.com;edu.uptymez.com B=edu.uptymez.com

edu.uptymez.com

 Thus  if the  some  magnetizing force  is applied to two identical  air  cored  and  iron cored  toroid, then magnetic flux  density  produced inside  the  toroid is

edu.uptymez.com

(iii)    Intensity of magnetization (edu.uptymez.com)   is the magnetic moment developed per unit volume of the material.

           When  a magnetic material  is  subjected  to a  magnetizing  force , the  material  is  magnetized

          Intensity of magnetization is the  measure  of the  extent to  which  the  material is  a magnetized  and  depends upon the  nature  of the  material

edu.uptymez.com

   where:

    edu.uptymez.com = magnetic moment developed in the material

   V= volume of the material

If  m is the pole strength developed,

edu.uptymez.com is the area of X – section of the material and 2l is the magnetic length. Then

edu.uptymez.com

edu.uptymez.com

 Hence Intensity  of   magnetization of a  material may  be  defined  as the  pole  strength  developed per  unit area  of  cross – section of the  material.

           Thus  the  SI unit of I is  Am-1  which  is the  same as the  SI  unit of  H

 Magnetic  susceptibility  edu.uptymez.comis the  ratio  of  intensity  of  magnetic  on I developed in the  material to the  applied  magnetizing  force H

edu.uptymez.com

       The magnetic susceptibility of a material indicates how easily the material can be magnetized.

          The  unit  of I  is  the  same  as  that of  H so that edu.uptymez.com is  a number

 Since  I   is  magnetic  moment per volume edu.uptymez.com is  also  called  volume  susceptibility of  the  material .

Consider a current carrying toroid having core material of relative permeability edu.uptymez.com

           The  total  magnetic  flux  density  B in the  material  is  given by

edu.uptymez.com

Where 

edu.uptymez.com = magnetic flux density due to current in the coils.

edu.uptymez.com= magnetic flux density due to the material (Magnetization of the material)
edu.uptymez.com        …………………(i)

 edu.uptymez.com          …………………(ii)

Here I is the intensity of magnetization induced in the toroid material

B =edu.uptymez.com + edu.uptymez.com

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Now,

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Equation (iii) give the relation between relative permeability (μr ) and magnetic susceptibility (Xm).

CLASSIFICATION OF MAGNETIC MATERIALS

All materials or substances are affected by the external magnetic field. Some attain weak magnetic properties and acquire strong magnetic properties.

On the basis of their behavior in external magnetic field , the various substance classified into the following three categories
(i)Diamagnetic  materials
(ii)Paramagnetic materials
(iii)Ferromagnetic materials

(i) DIAMAGNETIC MATERIAL
When a diamagnetic substance is placed in a magnetic field in the magnetic field lines prefer to passs through the surrounding air rather than through the substance.
edu.uptymez.com

Diamagnetic materials are materials which can not be affected by the magnetic field.

                     They are repelled by magnetic field e.g. lead, silver, copper, zinc, water, gold bismuth etc.

                   These   substances when placed in a magnetic field are weakly magnetized in a direction opposite to that of the applied field.

PROPERTIES OF DIAMAGNETIC MATERIALS

1.   A diamagnetic substance is feebly repelled by a strong magnet.

2.  The magnetic susceptibility (edu.uptymez.com) of a diamagnetic substance has a small negative value.

3.   The relative permeability (edu.uptymez.com) of a diamagnetic substances is slightly less than 1

4.   When a rod of diamagnetic substances is suspended freely in a uniform magnetic field, the rod comes to rest with its axis perpendicular to the direction of the applied field.

See figure below

 edu.uptymez.com

This gives the relation between relative permeability edu.uptymez.comand magnetic susceptibility edu.uptymez.comof the material.

(ii)PARAMAGNETIC MATERIALS

Are materials which when placed in a magnetic field are weakly magnetized in the direction of the applied field

          The paramagnetic substances include the Aluminum antimony , copper sulphate, Crown grass etc

 Since the weak induced magnetic field is in the direction of the applied field, the resultant magnetic field in the paramagnetic substance is slightly more than the external field

          Hence the magnetic susceptibility of a paramagnetic substance is positive having

          It clear that the relative permeability edu.uptymez.com for such substances will be slightly more than 1

edu.uptymez.com= 1 + edu.uptymez.com

Paramagnetic substance loses its magnetism as soon as the external magnetic field is removed

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