Practice question
Question
In electromagnetic theory, what explains the constant ratio of electric to magnetic field amplitudes in
a wave?
Explanation
**Transverse nature** means E and B perpendicular to direction, e.g., wave propagating along z, E along x, B along y, Poynting vector S = E×B/μ₀ along z, energy flow direction. E and B in phase, maxima together, ratio fixed c. The ratio (E₀/B₀) = c , where c is the speed of light, arises from Maxwell’s equations, ensuring energy conservation and wave propagation consistency in vacuum. Using c = fλ, E₀/B₀ = c, I_d = ε₀ dΦ_E/dt, and spectrum classification λ = c/f, evaluation yields Maxwell’s equations, illustrating EM wave transverse nature and Maxwell's displacement current concept.
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