Practice question
Question
In electromagnetic wave theory, what is the relationship between the electric and magnetic field
amplitudes in vacuum?
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 electric and magnetic field amplitudes are related by the speed of light in vacuum, where E₀ = B₀ c , or equivalently B₀ = (E₀/c) , ensuring energy balance in the wave. Using c = fλ, E₀/B₀ = c, I_d = ε₀ dΦ_E/dt, and spectrum classification λ = c/f, evaluation yields E₀ = B₀ c, illustrating EM wave transverse nature and Maxwell's displacement current concept.
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