The key difference between magnetic susceptibility and permeability is that magnetic permeability describes the ability of a material to support the formation of a magnetic field inside itself whereas susceptibility describes whether a material is attracted to a magnetic field or is repelled from it.
Magnetic Susceptibility
Magnetic Permeability
Magnetic Susceptibility The magnetic susceptibility of a magnetic substance is defined as the ratio of the intensity of magnetisation to magnetic intensity $\chi_{ m }=\frac{ I }{ H }$
- It is ratio of two quantities with same units $\left( Am ^{-1}\right)$ so has no units.
- It gives the measure of ease with which a material can be magnetised by magnetising field.
- The value of $\chi_{ m }$ depends on nature of material and temperature.
- If H = 1 then $\chi_{ m }= I$. So magnetic susceptibility is the intensity of magnetisation developed in the substance when placed in a magnetising field of unit strength.
- Different relations for magnetic susceptibility are
A.Volume magnetic susceptibility $\chi_{ m }=\frac{ I }{ H }$
B.Mass magnetic susceptiblity $\chi_{\text {mass }}=\frac{\chi_{ m }}{\rho}$ $\rho$ = density of material
C. Molar magnetic susceptibility $\chi_{\text {molar }}=\frac{W_{\chi_{ m }}}{\rho}$ W = atomic weight
D.Molecular magnetic susceptibility $\chi_{\text {molecular }}=\frac{W}{N}\left(\frac{\chi_{ m }}{\rho}\right)=\frac{\chi_{\text {molar }}}{ N }$
Magnetic Permeability
The magnetic permeability of a magnetic substance is defined as the ratio of the magnetic induction to the magnetic intensity so $\mu=\frac{ B }{ H }$- It is a scalar with unit weber/ampere-meter or henry/meter or newton/ampere $^{2}$ and dimension $M^{1} L^{1} T^{-2} A^{-2}$
- It is a measure of ability of a medium to allow passage of magnetic lines of force through it or measure of degree to which magnetic field can penetrate through a material.
- Relative permeability in a material $\mu_{ r }=\frac{\mu}{\mu_{0}}=\frac{ B }{ B _{0}}=\frac{\text { number of lines of magnetic induction per unit area i }}{\text { number of lines per unit area in vacuum }}$
- $\mu_{r}$ is a dimensionless quantity. $\mu$ is always positive and depends of nature of material and temperature.
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- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
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- Motion in a Plane
- Law of Motion
- Work, Energy and Power
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