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329sp09hw8 - ECE 329 Homework 8 Due Tuesday 5PM 1 In...

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Unformatted text preview: ECE 329 Homework 8 Due: Tuesday, March 17, 2009, 5PM 1. In material media, phasor form of Faraday’s and Ampere’s laws, ∇ × ˜ E =- jω ˜ B =- jωμ ˜ H and ∇ × ˜ H = ˜ J + jω ˜ D = σ ˜ E + jω ˜ E = ( σ + jω ) ˜ E , have σ + jω in place of jω o , and μ in place of μ o as compared to the same equations in vacuum. As a consequence, divergence-free plane wave solutions with phasors ˜ E = ˆ xE o e ∓ γz and ˜ H = ± ˆ y E o η e ∓ γz have, instead of the wave parameters γ = jω √ μ o o = ( jωμ o )( jω o ) and η = μ o o = jωμ o jω o as in vacuum, the modified wave parameters γ = ( jωμ )( σ + jω ) and η = jωμ σ + jω . a) Calculate the numerical values of the propagation constant γ ≡ α + jβ and intrinsic impedance η , if wave frequency f = ω 2 π = 10 3 Hz and the medium parameters are μ = μ o , = 81 o , and σ = 4 S/m, corresponding to sea water....
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329sp09hw8 - ECE 329 Homework 8 Due Tuesday 5PM 1 In...

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