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EE325_quiz_10_sol_Yilmaz

# EE325_quiz_10_sol_Yilmaz - NAME Solution I EE325-Fall 2009...

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NAME: _____________ Solution I EE325-Fall 2009 Quiz 10 1) A 10 MHz plane wave travels in free space and impinges normally on a block of matter with 2 0 σ = , 20 3 εε = , and 0 10 μμ = . Find the following. a) The wave number in free space 1 k (1 point) 7 1 1 8 0 21 0 m 15 31 0 k c ωπ π == = × b) The wave number in the material 2 k (1 point) 7 1 2 8 0 2 30 m 15 15 0/ rr k c π π με = = × c) The intrinsic impedance of the material 2 η (2 points) 0 2 0 10 10 120 33 μ μ ηπ d) The reflection coefficient Γ (3 points) 10 1 10 3 3 10 10 3 1 3 ηη −− Γ === = ++ + + e) The transmission coefficient τ (3 points) 0 1 10 3 τ =+ Γ= +

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NAME: _____________ Solution II EE325-Fall 2009 Quiz 10 1) Determine the condition under which the magnitude of the reflection coefficient equals that of the transmission coefficient for a uniform plane wave at normal incidence on an interface between two lossless dielectric media. (5 points) 21 2 2 2 2 ηη η η =⇒ = ++ . Two possible scenarios: Either 12 , which implies −= (since both materials are lossless, this condition cannot be satisfied), or
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EE325_quiz_10_sol_Yilmaz - NAME Solution I EE325-Fall 2009...

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