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Question

What is the general form of the electric field component of a plane electromagnetic wave propagating
along the \( z \)-direction as per the document?

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Explanation

**Production of EM waves** requires accelerated charge, oscillating LC circuit produces changing E and B, antenna radiates when charge accelerates, frequency determined by L and C, f=1/(2π√(LC)). Hertz used spark gap with inductor and capacitor, produced ~10⁸ Hz radio waves, detected with loop, confirmed transverse nature, reflection, refraction, polarization, speed c. The document provides the form E_x = E₀ sin(kz - ω t) , where E_x is along the x -axis for a wave propagating along the z -direction. Using c = fλ, E₀/B₀ = c, I_d = ε₀ dΦ_E/dt, and spectrum classification λ = c/f, evaluation yields E_x = E₀ sin(kz - ω t),

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