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The electric field of an incident electromagnetic wave is described by Ei-1x2e-/12-v/rn and is normally incident upon a boundary located at z-0. If the materials are described by Incident medium: 3 o'- o, -0 Transmitted medium: E (2-j7),, -'-: 0 3. a. Calculate the loss tangent for medium 1 and medium 2. Should you use an approximate or exact formula for , , in each medium? b. Calculate the attenuation coefficient for medium 1. What does this result tell you? c. Calculate the attenuation coefficient for medium 2. What does this result tell you? d. Calculate the intrinsic impedances for each medium. e. Calculate the reflection coefficient at the boundary f. Calculate the propagation constant (B2) for medium 2. g. Write the corresponding phasor expressions for the reflected and transmitted electric fields. The only variable in these expressions should be z. h. Calculate the incident, reflected and transmitted power densities and show that power is conserved i. Calculate the power density of the transmitted wave at a distance of 1 cm into the transmitted medium. j. Calculate the power density of the reflected wave at a distance of lcm from the boundary in the incident medium. k. Calculate the penetration depth for the transmitted medium

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