A uniform plane electromagnetic wave propagates through air (Er = 1, fly = 1). The electric field phasor associated with

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A Uniform Plane Electromagnetic Wave Propagates Through Air Er 1 Fly 1 The Electric Field Phasor Associated With 1 (478.54 KiB) Viewed 14 times

A uniform plane electromagnetic wave propagates through air (Er = 1, fly = 1). The electric field phasor associated with this wave is given by: Ē(z) = 4e -j (0.11z) (Rejn/4 – ģe-j/4) V/m Consider the following questions. You must show your work for full credit. (a) (2 pts.) In which direction does this wave propagate? Briefly explain your answer. (b) (4 pts.) Find the frequency and wavelength associated with this electromagnetic wave. (c) (4 pts.) Find the time-average power density carried by this wave. (d) (5 pts.) Find the polarization of the wave. (If the polarization is circular or elliptical, state whether the wave is right handed or left handed.) Explain your answer. You are now told that this electromagnetic wave is normally incident on the surface of a saltwater lake, as illustrated below. incident wave air z = 0 y lake Z M2 The water in the lake is nonmagnetic, but you do not know its relative permittivity or its conductivity. However, you are able to determine that just below the surface of the lake, the magnetic field phasor associated with the wave is given by: Ñ (z) = Hoe -512-512 az (ģejt/4 + îe-j1/4) V/m In the above, H, is a constant. (e) (5 pts.) Find the conductivity of the lake water. Explain your answer.