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final_ECE471_S05 - E&CE471 Electromagnetic Waves Final...

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1 E&CE471: Electromagnetic Waves Final Examination (Spring 2005) Aug 11, 2005, Instructor: A. H. Majedi Duration: 2.5 hours Calculators are permitted. Answer all questions & problems. Full mark constitutes 100 . Extra 2 marks is bonus. ------------------------------------------------------------------------------------------------------------ Name: Student ID#: 1- Find the polarization and the direction of rotation (handedness) of the following time-varying electric fields in (mV/m) [15 marks]: a) ) 120 cos( 6 ˆ ) cos( 2 ˆ ) , ( ! ! ! " ! # kz t y kz t x t z $ $ ! b) % & jky e z j x y ! " ! # ˆ ˆ 3 ) ( ~ ! c) ) sin( 5 ˆ ) sin( ˆ ) , ( kz t y kz t x t z ! " ! # $ $ ! 2- A 1 MHz uniform plane wave with amplitude 1 (V/m) is traveling through a block of copper. If the conductivity of copper is 7 10 8 . 5 (S/m) and 1 # # r r ( ) , a) Calculate the complex propagation constant [4 marks]. b) Calculate the intrinsic impedance [3 marks]. c) Compute the skin depth [3 marks]. d) Determine the power dissipated in the copper over a distance of 1 ( m with surface area 2 2 m [4 marks]. 3- Consider a planar interface between air and a human muscle tissue. A uniform plane wave is normally incident at this boundary. The conductivity of a human muscle tissue at 100 MHz and 2.45 GHz are measured to be 0.889 (S/m) and 2.21
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