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Electromagnetic Waves — Class 12 CBSE Physics revision notes

A 3-page visual revision sheet for Electromagnetic Waves, written for Class 12 CBSE Physics. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.

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Electromagnetic Waves in one look

a changing E makes a B, a changing B makes an E, and the pair carries itself forward

  1. Changing E: an electric field that varies with time
  2. Displacement current: Maxwell's term: it makes a B, just as a conduction current does
  3. Self-sustaining wave: each one's change regenerates the other

Displacement current, said precisely

  • Ampere's law, one loop: the current i pierces its flat surface
  • stretch that surface into a bag between the plates: no charge crosses it
  • yet the electric flux through the gap changes as the plates charge
  • Maxwell: a changing E is a current too, the displacement current i_d = ε_0dφ_E/dt
  • Ampere-Maxwell law: oint B· dl = μ_0 i_c + μ_0ε_0dφ_E/dt
  • constant, AC or rising: i_d = i at every instant, the same B
  • not a flow of charge, yet it makes B; steady (dc) state: no i_d

Sources: an accelerating charge

  • charge at rest: only a steady E, no wave
  • steady speed (a steady current): a steady B added, still no wave
  • an accelerated charge radiates: oscillating E makes oscillating B, which makes E again
  • the wave has the frequency of the charge's oscillation; its energy comes from the source
  • Hertz made and detected them (1887); J.C. Bose, waves of a few mm (1895)

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