submit your calculations electronically within the allotted time. The exam is open book and open lecture notes. At all t

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Submit Your Calculations Electronically Within The Allotted Time The Exam Is Open Book And Open Lecture Notes At All T 1 (81.01 KiB) Viewed 36 times

submit your calculations electronically within the allotted time. The exam is open book and open lecture notes. At all times, follow the University of Washington Academic Integrity policy. You are required to join the class Zoom meeting with your webcam camera on during the exam. You should work on this exam on your own without any assistance from another person. Do not use unauthorized online resources during the exam. 2. [50 points] We have an electromagnetic wave propagating in a lossless linear, homogeneous, isotropic (LHI) medium that is charge free, and non-magnetic. This wave is characterized by a magnetic field intensity (milli-Amps/meter) given by: H = 2 4 cos(3m x 105t-2m x 10-³y-n) - 3 cos(3m x 10³t - 2m x 10-³y) mA/m (a) Is this wave a uniform plane wave? If so, explain which plane, and why, or why not, is the wave uniform and a plane wave. Which direction and with what velocity is this plane wave traveling in? What plane are the electromagnetic fields in? permittivity and relative (b) What is the wavelength of this EM wave and the relative permeability of the medium that this wave propagates in? (c) State whose law that you will use, write down that expression, and then step-by-step, calculate the instantaneous time electric field intensity E(x, y, z, t) of this wave. No credit will be given for a simple answer. Credit will be earned for each step of your derivation. Show the proper units. (d) What is the state of polarization of this field? Show all your polarization parameters to identify this state in step-by-step calculations to receive credit. (e) [7 points] Show your calculations and plot the polarization vector at y = 0 in the polarization plane at times wt = 0, wt = n/2 and wt = 3n/2. Include the angle Y in the plots. (f) [7 points] Show your calculations and plot the H-field vector at y = 0 in the polarization plane at times wt = 0, wt = n/2 and wt = 37/2. Include the angle in the plots. (g) Find the ratio (magnitude and phase) of the quantity E/H from your previous derivations of E and in part (c) in this exam. Perform step-by-step calculations to receive full credit, no credit for just an answer. (h) Calculate step-by-step the Poynting vector Sav=Re ExH for this EM wave and state its units and direction. 12