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Question

What is the general form of the magnetic field component of a plane electromagnetic wave propagating
along the \( z \)-direction?

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Explanation

**Relationship E and B** in EM wave E₀ = c B₀, B₀ = E₀/c, for vacuum. Fields sustain each other via Maxwell's equations ∇×E = -∂B/∂t, ∇×B = μ₀ ε₀ ∂E/∂t, time-varying E produces B and vice versa, self-sustaining propagation without medium, speed c. The document provides the form B_y = B₀ sin(kz - ω t) , where B_y is along the y -axis for a wave propagating along the z -direction. Using c = fλ, E₀/B₀ = c, I_d = ε₀ dΦ_E/dt, and spectrum classification λ = c/f, evaluation yields B_y = B₀ sin(kz - ω t), illustrating EM wave transverse nature and Maxwell's displacement current concept.

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