Wave Impedance of Free Space | Lecture Note - Edubirdie

University:
Santa Fe College
Course:
ETS 2527C | Electromechanical Components and Mechanisms
Academic year:

2024
Views:

403

Pages:

6
Author:

Jabin F.

Top Section Wave impedance (Z₀) of free space: Z₀ = E / H = μ₀ * (E / B) Z₀ = μ₀ * c = ω₀ / √(μ₀ * ε₀) = √(μ₀ / ε₀) Z₀ = 120π Ω ≈ 377 Ω Electromagnetic energy is stored in an L-C circuit. L-C circuit: Used to store electromagnetic energy. Free space is equivalent to an L-C circuit. Bottom Section Diagram: A cube representing free space. A capacitor (C) on one side. An inductor (L) on the opposite side. Electric field lines (E) and magnetic field lines (B) within the cube. Equation: u_em = (1/2) * ε₀ * E² Top Section τ = ε / σ = 8.85 x 10^-12 / 10^6 τ ≈ 10^-17 sec Middle Section Resistivity (ρ): ρ = 1 / σ = 10^-2 Ωm τ = ε / σ = ε₀ / ρ ε = ε₀ = 8.854 x 10^-12 F/m (if not given) τ = 10^-2 x 8.854 x 10^-12 τ = 88.54 x 10^-15 sec τ = 88.54 femtosec Bottom Section τ = ε₀ / ρ = ε₀ * εᵣ τ = 10^-12 x 8.854 x 10^-12 * εᵣ τ = 8.854 * 10^-24 * εᵣ Option (d)

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