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Unformatted text preview: ECE-329 Summer 2009 Homework 8 Solution July 15, 2009 1. A y-polarized plane TEM wave propagates in vacuum in- x direction. If the wave field varies at x = 0 according to E y (0 ,t ) = 12 ( t ) V / m , where ( t ) is the unit triangle function with width = 4 s , we can find that a) The waves electric field is given by E ( x,t ) = 12( t + x/c ) y V m , where c 3 10 8 m / s is the wave propagation velocity in vacuum. b) The associated waves magnetic field is H ( x,t ) =- 12 o ( t + x/c ) z A m , where o 120 is the intrinsic impedance of vacuum. c) The Poynting vector is E H =- 144 o 2 ( t + x/c ) x W m 2 and its pick value is max( | E H | ) = 144 o 6 5 W m 2 . d) The location of the peak of E H evolves according to t + x/c = 0 x =- ct. e) Plotting E y vs t at x =- 1500 m . Time [ s] E y ( x,t ) h V m i 2 4 6 8 10 2 4 6 8 10 12 x =- 1500 m 1 ECE-329 Summer 2009 f) Plotting H z vs x...
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