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ElectricalMachine
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A substance whose permeability is less than the permeability of free space is?

A

Diamagnetic

B

Paramagnetic

C

Ferromagnetic

D

Not a magnetic substance

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalMachine
Option A

Diamagnetic

Quick Summary:

A substance whose magnetic permeability is less than the permeability of free space (╬╝<╬╝0\mu < \mu_0╬╝<╬╝0тАЛ) is classified as a diamagnetic material. For such substances, the relative permeability is slightly less than unity (╬╝r<1\mu_r < 1╬╝rтАЛ<1). Consequently, their magnetic susceptibility is small and negative (╧Зm<0\chi_m < 0╧ЗmтАЛ<0).

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

A substance whose magnetic permeability is less than the permeability of free space (╬╝<╬╝0\mu < \mu_0╬╝<╬╝0тАЛ) is classified as a diamagnetic material. For such substances, the relative permeability is slightly less than unity (╬╝r<1\mu_r < 1╬╝rтАЛ<1). Consequently, their magnetic susceptibility is small and negative (╧Зm<0\chi_m < 0╧ЗmтАЛ<0).

ЁЯФв Key Formulas

╬╝r=╬╝╬╝0\mu_r = \frac{\mu}{\mu_0}╬╝rтАЛ=╬╝0тАЛ╬╝тАЛ тАФ Relative permeability formula

╧Зm=╬╝rтИТ1\chi_m = \mu_r - 1╧ЗmтАЛ=╬╝rтАЛтИТ1 тАФ Magnetic susceptibility formula

B=╬╝0(H+M)\mathbf{B} = \mu_0 (\mathbf{H} + \mathbf{M})B=╬╝0тАЛ(H+M) тАФ Relation between magnetic induction, field strength, and magnetization

тЪЩя╕П Working Principle

When placed in an external magnetic field, the orbital motion of electrons in diamagnetic atoms shifts, inducing a magnetic dipole moment opposing the applied field according to Lenz's law. This causes diamagnetic substances to be weakly repelled by strong magnetic fields.

ЁЯУМ Key Points
  • тЦ╕

    For diamagnetic materials, ╬╝r<1\mu_r < 1╬╝rтАЛ<1 and ╧Зm<0\chi_m < 0╧ЗmтАЛ<0 (small and negative).

  • тЦ╕

    Diamagnetism is independent of temperature.

  • тЦ╕

    Diamagnetic materials tend to move from stronger to weaker parts of a non-uniform magnetic field.

тЬЕ Advantages
  • тЦ╕

    Exhibits perfect diamagnetism in superconductors (Meissner Effect).

  • тЦ╕

    Does not retain residual magnetism when external field is removed.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Cannot be magnetized permanently for industrial magnetic storage.

  • тЦ╕

    Interaction with magnetic fields is extremely weak for non-superconducting materials.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Magnetic levitation using superconductors.

  • тЦ╕

    Bismuth-based magnetic field sensors.

  • тЦ╕

    Magnetic shielding components.

ЁЯУД Additional Information
  • тЦ╕

    Examples of diamagnetic materials include Bismuth, Copper, Water, Gold, Mercury, and Silver.

  • тЦ╕

    Option B (Paramagnetic) is incorrect because paramagnetic materials have ╬╝r>1\mu_r > 1╬╝rтАЛ>1 and ╧Зm>0\chi_m > 0╧ЗmтАЛ>0.

  • тЦ╕

    Option C (Ferromagnetic) is incorrect because ferromagnetic materials have ╬╝rтЙл1\mu_r \gg 1╬╝rтАЛтЙл1 and large positive susceptibility.

ЁЯУК Diagram / Illustration
Relative Permeability (┬╡_r) FormulaMaterial Permeability (┬╡)Free Space Permeability (┬╡тВА)For Diamagnetic: ┬╡ < ┬╡тВА тЯ╣ ┬╡_r < 1
тЬЕ

A is correct тАФ Diamagnetic substances have a permeability less than free space permeability, giving a relative permeability less than 1.

Core Concepts Used
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Magnetic Permeability Magnetic Susceptibility Classification of Magnetic Materials
ЁЯТб EXAM TIP

Always remember for competitive exams: Diamagnetic (╬╝r<1\mu_r < 1╬╝rтАЛ<1, ╧Зm<0\chi_m < 0╧ЗmтАЛ<0), Paramagnetic (╬╝r>1\mu_r > 1╬╝rтАЛ>1, ╧Зm>0\chi_m > 0╧ЗmтАЛ>0), and Ferromagnetic (╬╝rтЙл1\mu_r \gg 1╬╝rтАЛтЙл1, ╧ЗmтЙл0\chi_m \gg 0╧ЗmтАЛтЙл0).

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