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Question

According to Maxwell's equations, what is the relationship between the speed of electromagnetic waves
in vacuum and the constants \( \mu_0 \) and \( \varepsilon_0 \)?

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Explanation

**Energy in EM wave** equally divided between electric and magnetic fields, energy density u = ½ ε₀ E² + B²/(2μ₀) = ε₀ E² = B²/μ₀, average u_avg = ½ ε₀ E₀², intensity I = c u_avg = ½ c ε₀ E₀² = E₀ B₀/(2μ₀) = c B₀²/(2μ₀), radiation pressure p = I/c for absorption, 2I/c for reflection. The document states that the speed c of electromagnetic waves in vacuum is given by c = (1/√(μ₀ ε₀)) . Using c = fλ, E₀/B₀ = c, I_d = ε₀ dΦ_E/dt, and spectrum classification λ = c/f, evaluation yields c = (1/√(μ₀ ε₀)), illustrating EM wave transverse nature and Maxwell's displacement current concept.

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