Here you find the dual relation between Magnetization (B) and Magnetic intensity (H). Derivation, Formula, Relation on the basis of Magnetic Susceptibility. Before we discuss the relation between B and H. we have to know the actual meaning of B and H. then we also drive the relation between B and H.
What is Magnetization
Magnetization of any material is defined as the net magnetic momentum due to movement of charge in a unit volume of a matter. Magnetization is denoted by ‘M’. so, Magnetization of any material is given by,
Magnetization(M) = net magnetic moment ∕ Volume
What is Magnetic Intensity
It is defined as when a current ‘I’ is passes through a coil or solenoid then the magnetic intensity of the coil is directly proportional to the current flowing through it. Magnetic intensity is denoted by H.
H ∝ I
H ∝ No. of turns of coil
∴ H = n I ———- (1)
In free space magnetic intensity will decreases due to the value of μo. so now, the magnetic intensity is denoted by Bo
Bo = μo n I
Bo = μo H [ from equ. (1) ]
Derivation of relation between B and H
Lets considered a iron piece so that the magnetization of iron piece is,
Magnetization(M) = net magnetic moment ∕ Volume
In case take this iron piece inside the solenoid due to this the net magnetic intensity,
B = μo M
Total Magnetic induction = Bo + B
B = μo H + μo M
B = μo ( H + M)
Magnetic Susceptibility
Magnetic Susceptibility is defined as the amount of magnetic moment that change the direction towards the flow of electric current in the solenoid.
Relation between B and H
B is the Magnetization of any material on the other hand H is the Magnetic intensity without any material. so, the relation between B and H is Magnetization (M) is directly proportional to the magnetic Intensity (H). that is given by,
M ∝ H
M = 乂 H
where 乂 is sai, H is magnetic intensity.
sai can be zero, negative, and positive.
As we know that,
B = μo ( H + M)
B = μo ( H + 乂 H )
B = μo H ( 1 + 乂 )
B = Bo ( 1 + 乂 )
where,
B = Magnetic field with material
Bo = Magnetic field without material
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