EM Waves

Consise & quick revision Notes

Use: Notes + Revision

EM Waves

Basics
  • Oscillating electric & magnetic fields
  • E ⟂ B ⟂ direction of propagation
  • Do not need medium (travel in vacuum)

Speed of EM Waves

c
c = 1 / √(μ₀ε₀)
  • Value ≈ 3 × 10⁸ m/s

Energy Density

u
  • Energy shared equally
  • uE = uB

Poynting Vector

S
S = (1/μ₀) (E × B)
  • Represents energy flow
  • Direction = wave propagation

Intensity

I
  • Energy per unit area per time
  • I ∝ E²

Momentum of EM Waves

Radiation
  • EM waves carry momentum
  • Exert radiation pressure

Maxwell’s Equations

Foundation
  • Gauss Law (Electric field due to charge)
  • Gauss Law (Magnetism → no monopole)
  • Faraday Law (changing B → E)
  • Ampere-Maxwell Law (current + displacement current)

Displacement Current

Concept
  • Current due to changing electric field
  • Completes Ampere’s Law

Nature of EM Waves

Transverse
  • Fields perpendicular to motion
  • Can show polarization

EM Spectrum

Range
  • Radio → Microwave → IR → Visible → UV → X-ray → Gamma
  • Frequency ↑ ⇒ wavelength ↓

Key Relations

Summary
  • E / B = c
  • Speed independent of medium (vacuum)
  • Energy equally divided in E & B fields