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Question

What is the significance of the equation \( \oint \mathbf{E} \cdot \mathrm{d} \mathbf{l} = -\frac{d
\Phi_B}{dt} \) in Maxwell's equations?

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Explanation

**Momentum of EM wave** p = U/c, U energy, radiation pressure exerts force F = I A/c, small but measurable, comet tail pushed by sunlight, solar sail concept. For E₀=45 V/m, B₀=1.5×10⁻⁷ T, intensity I =0.5×3×10⁸×8.85×10⁻¹²×45²≈2.69 W/m². This is Faraday's Law, which states that a changing magnetic flux induces an electric field, a key mechanism for electromagnetic wave propagation. Using c = fλ, E₀/B₀ = c, I_d = ε₀ dΦ_E/dt, and spectrum classification λ = c/f, evaluation yields It describes the induction of an electric field by changing magnetic flux, illustrating EM wave transverse nature and Maxwell's displacement current concept.

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