Practice question
Question
According to Maxwell's equations, what is the relationship between the speed of electromagnetic waves
in vacuum and the constants \( \mu_0 \) and \( \varepsilon_0 \)?
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.
Discussion
Comments
Please log in to join the discussion.
Login to commentNo comments yet. Be the first to start the discussion.