Electromagnetic waves emerge once Maxwell adds displacement current to Ampere’s law, and this Class 12 Physics Chapter 8 summary traces that idea through the properties of the waves and the electromagnetic spectrum.
Displacement Current
- Maxwell added a term, Id=ε₀(dΦE/dt), to Ampere’s law so that a changing electric flux acts as a source of magnetic field, just like conduction current.
- Total current (conduction + displacement) is always continuous, even where conduction current alone seems to stop (e.g. between capacitor plates).
- Displacement current has the same SI unit as conduction current: the ampere (A).
Properties of Electromagnetic Waves
- E and B oscillate sinusoidally, perpendicular to each other and to the direction of wave propagation, and in phase with each other.
- They travel through vacuum at the speed of light, c=1/√(μ₀ε₀)≈3×10⁸m/s, and require no medium.
- Amplitude relation: E₀=cB₀.
- Average energy density: uE=¼ε₀E₀² (electric part), uB=¼B₀²/μ₀ (magnetic part); uE=uB, so each field carries exactly half the wave’s total average energy.
- Electromagnetic waves carry momentum and can exert radiation pressure.
The Electromagnetic Spectrum
- Ordered by increasing wavelength (decreasing frequency and photon energy): gamma rays, X-rays, ultraviolet, visible light, infrared, microwaves, radio waves.
- Photon energy E=hν spans roughly 15 orders of magnitude across the spectrum, from a fraction of a µeV for radio waves to millions of eV for gamma rays — reflecting the very different physical processes (oscillating currents, molecular vibration, atomic transitions, nuclear transitions) that generate each band.
- Visible light is only a narrow slice of the full spectrum, roughly 4000–7000Å (400–700nm) in wavelength.
One-Line Summary
A changing electric field produces a magnetic field and vice versa, and this mutual regeneration lets electromagnetic waves — from radio waves to gamma rays — propagate through vacuum at the speed of light, carrying energy split equally between their electric and magnetic parts.
Class 12 Physics Chapter 8 – Solutions and Important Questions
Need full answers or more practice? See the Class 12 Physics Chapter 8 Solutions and Class 12 Physics Chapter 8 Extra Questions.
See also: Chapter 1 | Chapter 2 | Chapter 3 | Chapter 4 | Chapter 5 | Chapter 6 | Chapter 7 | Chapter 8
Practice more: Chapter 1 | Chapter 2 | Chapter 3 | Chapter 4 | Chapter 5 | Chapter 6 | Chapter 7 | Chapter 8
Quick revision: Chapter 1 | Chapter 2 | Chapter 3 | Chapter 4 | Chapter 5 | Chapter 6 | Chapter 7

