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Question

An electromagnetic wave in vacuum has a frequency of \( 20 \, \text{MHz} \). What is its wavelength?
(Given \( c = 3 \times 10^8 \, \text{m/s} \))

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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. Using v λ = c , we have λ = (c/v) = (3 × 10⁸/20 × 10⁶) = 15 m . Using c = fλ, E₀/B₀ = c, I_d = ε₀ dΦ_E/dt, and spectrum classification λ = c/f, evaluation yields 15 m, illustrating EM wave transverse nature and Maxwell's displacement current concept.

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