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Consider the following statements:

1. SI unit of magnetisation is Am-3

2. SI unit of permeability TmA-1

3. SI unit of magnetic field Tesla 

4. SI unit of susceptibility is Am-1

Which of the above statements are correct


1. 1) and 3) only
2. 2) and 3) only
3. 2) and 4) only
4. 1), 2), 3) and 4)

1 Answer

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Best answer
Correct Answer - Option 2 : 2) and 3) only

CONCEPT:

Magnetization (M): 

  • It is defined as the magnetic moment per unit volume of the material. 
  • Mathematically it is written as,


\(⇒ M=\frac{ m_{net}}{V}=\frac{m\; × \;2l}{a\;\times \;2l}=\frac{m}{a}\)

Where mnet = the dipole moment of the specimen, V = volume of the material, m = strength of each pole of the specimen, 2l = magnetic length of the specimen, and a  = uniform cross-section area of the specimen. 

  • SI unit of magnetization Am-1
  • Magnetic intensity (H), of a material medium, can be described as the capability of the magnetic field to magnetize it.

\(⇒ H=\frac{B_{0}}{μ_{0}}\)

Where B0 is the applied magnetic field, μ0 is the permeability of free space.

Magnetic field strength:

  • Consider a solenoid carrying n turns per unit length and carrying current I. The magnetic field strength in the interior of the solenoid, B0 = μ0nI.
  • The net field in the interior of the solenoid, 

⇒ B = B+ Bm 

Where Bm is the field contributed by magnetic core given by, Bm = μ0M​

⇒ B = μ0(H + M)

  • SI unit of magnetic field strength is weber/meteror Wb m-2

Magnetic susceptibility (χm): 

  • It is the property of the substance which shows how easily a substance can be magnetized.
  • It is defined as the ratio of the intensity of magnetization (M) in a substance to the magnetic intensity (H) applied to the substance,  i.e. \(\chi = \frac{M}{H}\)
  • It is a scalar quantity with no units and dimensions


 B = μ0(1 + χ)H = μ0μrH = μH

Where μr is the relative permeability of the substance and μ is the magnetic permeability of a material

Relative permeability of the substance:

  • The ratio of magnetic permeability of a material (μ ) to the magnetic permeability of the free space (μ0).

\(μ_{r}=\frac{μ}{μ_{0}} =1+\chi\)

EXPLAINATION:
  1. SI unit of magnetization is Am-1
  2. SI unit of permeability TmA-1 (Tesla meter/ ampere)
  3. SI unit of magnetic field Tesla (T).
  4. Susceptibility is a dimensionless quantity. Hence it has no unit.


Hence option 2) is correct.

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