Physic Labs

Electrodynamics

Electromagnetic waves in vacuum

Observe that E, B, and propagation are mutually perpendicular, E and B oscillate in phase, and their amplitudes satisfy E₀/B₀ = c in vacuum.

Undergraduate

Equipment

  • Transverse field display with adjustable frequency and field amplitude
  • Vacuum propagation axis and wavelength scale
  • Phase and amplitude readouts for E and B

Procedure

  1. Set the propagation conditions

    In an experimental analogue, launch a narrow-band source into a vacuum chamber or use a calibrated waveguide. Set the frequency and record it before measuring wavelength between successive equal-phase points.

  2. Compare the field directions

    At a fixed position, compare the E and B arrows with the propagation axis. Rotate the polarization plane and verify that both field vectors remain transverse to the direction of travel.

  3. Test frequency, wavelength, and phase

    Change frequency while keeping the vacuum medium unchanged, measure the new wavelength, and calculate fλ. Compare it with c. Read E and B at the same position and confirm their maxima and zero crossings coincide; check the amplitude ratio E₀/B₀.

Simulation

Experiment history

In 1865, James Clerk Maxwell published a synthesis of electricity, magnetism, and light, arguing that changing electric and magnetic fields propagate as waves at a speed matching the measured speed of light. His theory implied electromagnetic waves beyond visible light. Heinrich Hertz experimentally generated and detected radio waves in 1887–1888, confirming key predictions of Maxwell's theory, including reflection and interference. This simulation shows an ideal plane wave in vacuum: its fields are transverse and in phase; their amplitudes are related by E₀/B₀ = c.

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