Practice question
Question
In an electromagnetic wave, if the electric field oscillates along the \( y \)-axis and the wave
propagates along the \( x \)-axis, what is the direction of the magnetic field?
Explanation
**EM wave in vacuum** transverse, E and B perpendicular to propagation and to each other, E×B along propagation, in phase, E/B = c =3×10⁸ m/s, c =1/√(μ₀ ε₀), μ₀=4π×10⁻⁷ H/m, ε₀=8.85×10⁻¹² F/m. For E₀=45 V/m, B₀=E₀/c=45/3×10⁸=1.5×10⁻⁷ T=150 nT, illustrating B much smaller than E. In an EM wave, E , B , and the direction of propagation are perpendicular. If E is along y -axis and propagation is along x -axis, then B must be along z -axis ( E × B gives propagation direction). Using c = fλ, E₀/B₀ = c, I_d = ε₀ dΦ_E/dt, and spectrum classification λ = c/f, evaluation yields z
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