Practice question
Question
The velocity of light in a medium with permittivity \( \varepsilon \) and permeability \( \mu \) is:
Explanation
**Displacement current** I_d = ε₀ dΦ_E/dt, Φ_E = ∫ E·dA electric flux (V·m), ε₀=8.85×10⁻¹² F/m, ensures continuity of current in charging capacitor where conduction current stops between plates, I_d equals conduction current in wires, 3 A conduction ⇒ 3 A displacement, maintaining Ampere's law ∮ B·dl = μ₀(I_c+I_d). As per Maxwell's equations, the velocity of light in a medium is v = (1/√(μ ε)) . Using c = fλ, E₀/B₀ = c, I_d = ε₀ dΦ_E/dt, and spectrum classification λ = c/f, evaluation yields (1/√(μ ε)), illustrating EM wave transverse nature and Maxwell's displacement current concept.
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