🧲 Physics — Class XII

Magnetism and Matter

Earth's magnetic field, magnetic properties of materials, and magnetic behaviour at the atomic level

📖 Chapter 5 ⏱ ~45 min read 🏷️ Magnetism

Table of Contents

  1. Introduction
  2. Earth's Magnetic Field
  3. Magnetic Dipole Moment
  4. Magnetic Field Intensity
  5. Torque on a Magnetic Dipole
  6. Diamagnetic Materials
  7. Paramagnetic Materials
  8. Ferromagnetic Materials

5.1 Introduction

Magnetic phenomena are universal in nature. Vast, distant galaxies, the tiny invisible atoms, humans and beasts all are permeated through and through with a host of magnetic fields from a variety of sources. The earth's magnetism predates human evolution.

5.2 Earth's Magnetic Field

The Earth behaves as if it has a giant bar magnet inside. The magnetic field lines emerge from the geographic south and enter at the geographic north (the internal magnetic poles are reversed).

Magnetism and matter
Figure 5.1 — Earth's magnetic field, magnetic dipole, and classification of magnetic materials

5.3 Magnetic Dipole Moment

A current loop behaves like a magnetic dipole. The magnetic dipole moment is:

m = NIA
N = number of turns, I = current, A = area of loop. SI unit: A·m². Direction by right-hand rule.

5.4 Magnetic Field Intensity

The magnetic field intensity at a point on the axis of a short bar magnet is:

B = (μ₀/4π)(2m/r³) (on axis)
On equatorial line: B = (μ₀/4π)(m/r³). The axial field is twice the equatorial field.

5.5 Torque on a Magnetic Dipole

A magnetic dipole in a uniform magnetic field experiences a torque:

τ = m × B
|τ| = mB sin θ. Dipole aligns with B in equilibrium. Potential energy: U = −m·B = −mB cos θ.

5.6 Diamagnetic Materials

Diamagnetic materials have all paired electrons and produce a weak opposing field when placed in an external magnetic field.

🔬 Key Properties

χ < 0 (small, negative). Weakly repelled by magnets. No permanent dipole moment. Examples: Cu, Ag, Au, Bi, water, NaCl.

5.7 Paramagnetic Materials

Paramagnetic materials have unpaired electrons with random thermal alignment, producing a weak net magnetization in an external field.

🔬 Key Properties

χ > 0 (small, positive). Weakly attracted by magnets. Permanent dipoles exist but randomly oriented. Examples: Al, Na, O₂, air, MnSO₄.

5.8 Ferromagnetic Materials

Ferromagnetic materials have unpaired electrons that spontaneously align in domains, producing strong magnetization.

🔬 Key Properties

χ >> 0 (large, positive). Strongly attracted by magnets. Domains aligned by external field. Retain magnetism (permanent magnets). Examples: Fe, Co, Ni, Fe₃O₄, CrO₂.

Ch 4 — Moving Charges and Magnetism Ch 6 — Electromagnetic Induction