Poynting Vector of a Conductor | Santa Fe College - Edubirdie

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

2024
Views:

328

Pages:

5
Author:

Jabin F.

# Poynting vector (S) S = (E x H) = EB/(4μ) * ẑ Direction of energy flow in a conductor Same as the direction of wave propagation. # Intensity: I = S = I₀e^(-2βz) I(z) = I₀e^(-2z/δ) I₀ = intensity on conductor's surface Wave Impedance (Z): Z = E/H = μω/σ ∇ x B = μ₀σE + μ₀ε₀(∂E/∂t) Equation: I(z=d)/I₀ = 1/e = 1/100 e^(-2d/δ) = 1/100 e^(2d/δ) = 100 2d/δ = ln(100) = 2 * 2.3 d = 2.3δ Skin depth of a good conductor: δ = √(2/(ωμσ)) δ = √(2/(4π*10^7 * 1/(2π) * 10^6 * 10^7)) δ = √(10^-6) m = 10^-3 m = 1 mm At this distance, 37% intensity remains. Thickness of sheet: d = 2.3δ = 2.3 mm (option-b)

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