Electromagnetic Wave Simulation

Electromagnetic Wave Simulation

This simulation visualizes the electromagnetic wave described in Example 8.3, showing both the magnetic (By) and electric (Ez) field components.

Wavelength (λ)

1.26 cm

λ = 2π/k = 2π/(0.5×10³)

Frequency (ν)

23.9 GHz

ν = ω/2π = 1.5×10¹¹/2π

Magnetic Field (B0)

2 × 10⁻⁷ T

From wave equation

Electric Field (E0)

60 V/m

E0 = B0 × c

Physics Explanation (Example 8.3)

The wave equation given is: By = 2×10⁻⁷ sin(0.5×10³x + 1.5×10¹¹t) T

  • Wavelength: λ = 2π/k = 2π/(0.5×10³ m⁻¹) = 1.26 cm
  • Frequency: ν = ω/2π = (1.5×10¹¹ rad/s)/2π = 23.9 GHz
  • Electric field: Ez = E0 sin(kx + ωt) where E0 = B0c = 60 V/m

The electric field is perpendicular to both the magnetic field and the direction of propagation (x-axis), following the right-hand rule for EM waves.

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