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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 [13]

Define magnetic intensity.

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

Define magnetization.

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

Define Curie temperature.

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

Definition: Magnetic Field Lines

Magnetic field lines are imaginary lines used to represent the direction and strength of a 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 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: Magnetisation

Magnetisation M is the net magnetic moment per unit volume.

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

Unit: A m−1

Definition: Magnetic Domains

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

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.

Definition: Ferromagnetism

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

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: Magnetic Dipole

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

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 [2]

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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