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Revision: Magnetic Effects of Current and Magnetism >> Magnetism and Matter Physics Science (English Medium) Class 12 CBSE

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Definitions [26]

Definition: Magnetisation

The ratio of magnetic moment to the volume of the material is called magnetisation.

Define magnetization.

The ratio of magnetic moment to the volume of the material is called magnetization.

Define magnetic intensity.

The ratio of the strength of the magnetizing field to the permeability of free space is called magnetic intensity. 

Definition: Intensity of Magnetisation

The magnetic moment developed per unit volume of a material when placed in a magnetising field is called intensity of magnetisation.

Definition: Magnetising Field Intensity

The ability of magnetising field to magnetise a material medium is called magnetising field intensity.

Definition: Magnetic Induction

The total magnetic field inside a magnetic material, which is the sum of the external magnetising field and the additional magnetic field produced due to magnetisation of the material, is called magnetic induction.

Definition: Magnetising Field

The magnetic field that exists in vacuum and induces magnetism is called magnetising field.

Definition: Relative Permeability

The ratio of magnetic permeability of the material (μ) and magnetic permeability of free space (μ₀) is called relative permeability.

Definition: Magnetic Intensity

The ratio of the strength of magnetising field to the permeability of free space is called magnetic intensity.

Definition: Magnetic Susceptibility

The ratio of magnitude of intensity of magnetisation to that of magnetic intensity is called magnetic susceptibility.

Definition: Magnetic Permeability

The ratio of the magnitude of total field inside the material to that of intensity of magnetising field is called magnetic permeability.

Definition: Permanent Magnets

Substances which at room temperature retain their ferromagnetic property for a long period of time are called permanent magnets.

Definition: Coercivity

The value of the reverse magnetising field (H₀) required to reduce the residual magnetic induction of a ferromagnetic material to zero (represented by point F on the hysteresis loop) is called coercivity.

Definition: Hysteresis

The lagging of intensity of magnetisation (I) or magnetic induction (B) behind the magnetising field (H) during the process of magnetisation and demagnetisation of a ferromagnetic material is called hysteresis.

Definition: Retentivity

The residual value of magnetic induction (B) retained by a ferromagnetic material when the magnetising field (H) is reduced to zero (represented by point B/C on the hysteresis loop) is called retentivity.

Define Curie temperature.

The temperature above which a ferromagnetic substance becomes paramagnetic is called curie temperature. 

Definition: Magnetic Domains

A macroscopic region in a ferromagnetic material where magnetic dipoles are aligned in a common direction.

Definition: Magnetisation

Magnetisation M is the net magnetic moment per unit volume.

\[\mathbf{M}=\frac{m_{\mathrm{net}}}{V}\]

Unit: A m−1

Definition: Magnetic Moment of Bar Magnet

The magnetic moment of a bar magnet is equal to the magnetic moment of an equivalent solenoid producing the same magnetic field.

Definition: Bar Magnet as Equivalent Solenoid

A bar magnet is equivalent to a solenoid carrying current, as both produce similar magnetic field patterns, especially at large distances.

Definition: Magnetic Field Lines

Magnetic field lines are imaginary lines used to represent the direction and strength of a magnetic field.

Definition: Magnetic Dipole

A bar magnet behaves like a magnetic dipole, having two equal and opposite poles separated by a small distance.

Definition: Bar Magnet

A bar magnet is a magnet in the shape of a rectangular bar having two poles — a north pole and a south pole — at its ends.

Definition: Ferromagnetism

Ferromagnetic substances are those which get strongly magnetised when placed in an external magnetic field.

Definition: Diamagnetism

Diamagnetic substances are those which have a tendency to move from stronger to weaker parts of an external magnetic field.

Definition: Paramagnetism

Paramagnetic substances are those which get weakly magnetised when placed in an external magnetic field.

Formulae [5]

Formula: Torque on a Dipole in a Uniform Electric Field

\[\vec τ\] = \[\vec p\] × \[\vec E\]

Magnitude: τ = pE sin θ

Formula: Axial Magnetic Field at Large Distance

\[B=\frac{\mu_0}{4\pi}\frac{2m}{r^3}\]

Where:

  • m = magnetic dipole moment
  • r = distance from centre
  • μ0 = permeability of free space
Formula: Torque on a Magnetic Dipole

τ = m × B

Magnitude:

τ = mB sin θ

Formula: Magnetic Potential Energy of a Dipole

U = m B

Formula: Magnetic Field Inside a Solenoid

B0= μ0nI

Theorems and Laws [3]

Law: Law of Hysteresis

When a ferromagnetic material is subjected to a cycle of magnetisation and demagnetisation, the intensity of magnetisation (I) or magnetic induction (B) lags behind the magnetising field (H). This lagging behaviour is called hysteresis. When plotted on a B–H graph, the curve forms a closed loop (hysteresis loop) in which:

  • B0​ (point A) denotes the saturation magnetic induction,
  • The intercept OB (or OC) on the B-axis when H is reduced to zero represents retentivity (residual magnetism),
  • The intercept OF on the H-axis (reverse field H0​) needed to reduce B to zero represents coercivity,
  • Points D and E represent reverse saturation and reverse retentivity respectively.

The area enclosed by the hysteresis loop is equal to the energy loss per cycle per unit volume of the material, and this area is different for different materials. Therefore, materials used as electromagnets require a narrow loop (low hysteresis loss), while permanent magnets require a wide loop (high retentivity and coercivity).

State Tangent Law in magnetism.

Tangent law states that, if a magnetic field ‘B is applied at right angles to the horizontal component of the earth's field BH, the needle comes to equilibrium at an angle ‘ to the magnetic meridian such that, tan θ = `B/B_H`.

Law: Gauss’s Law

Statement

The net magnetic flux through any closed surface is zero.

∮ B ⋅ dS = 0

Explanation

Magnetic fields are continuous and form closed loops. For any closed surface, the number of magnetic field lines entering the surface is equal to the number leaving it.

If we divide a closed surface into small area elements ΔS, the flux through each element is:

ΔϕB = B ⋅ ΔS

Adding the flux through all elements:

ϕB = ∑ B ⋅ ΔS = 0

This is different from electrostatics, where the net electric flux depends on the charge enclosed.

Conclusion

Since there are no isolated magnetic poles (monopoles), the net magnetic flux through any closed surface is always zero.

Key Points

Key Points: Basics of Magnetism
  • Magnetic phenomena are universal and exist at all scales, from atoms to galaxies, including the Earth.
  • The Earth behaves like a giant bar magnet, with its magnetic field directed approximately from geographic south to geographic north.
  • A freely suspended bar magnet aligns itself along the north–south direction; like poles repel and unlike poles attract.
  • Magnetic monopoles do not exist; breaking a magnet always produces smaller magnets, each having both north and south poles.
  • Certain materials, such as iron and its alloys, can be magnetised, and materials are classified as diamagnetic, paramagnetic, or ferromagnetic based on their magnetic properties.
Key Points: Magnetic Field Lines
  • Magnetic field lines form continuous closed loops.
  • Outside a magnet, field lines go from North to South; inside, from South to North.
  • The tangent at any point gives the direction of the magnetic field (B).
  • Closer field lines indicate a stronger magnetic field.
  • Magnetic field lines never intersect each other.
Key Points: Magnetic Properties of Materials
  • Magnetic materials are classified by susceptibility χ: diamagnetic (χ < 0), paramagnetic (χ > 0, small), and ferromagnetic (χ ≫ 1).
  • Diamagnetic substances are weakly repelled by a magnet and move from a strong to a weak magnetic field; μr < 1. Superconductors exhibit perfect diamagnetism (the Meissner effect).
  • Paramagnetic substances are weakly attracted by a magnet and move from a weak to a strong magnetic field; μr > 1.
  • Ferromagnetic substances are strongly attracted by a magnet and become strongly magnetised; μr ≫ 1.
  • Ferromagnetic materials have domains of aligned dipoles; in an external field, domains align. Hard magnets retain magnetisation, soft magnets do not.

Important Questions [48]

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