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Question

An electromagnetic wave propagates in the \( z \)-direction with electric field along the \( x \)-axis.
In which direction is the magnetic field oriented?

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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 electromagnetic wave, E , B , and the direction of propagation are mutually perpendicular. If E is along x -axis and propagation is along z -axis, then B must be along the y -axis (since E × B gives the direction of propagation). Using c = fλ, E₀/B₀ = c, I_d = ε₀ dΦ_E/dt, and spectrum classification λ =

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