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Final_ECE471_08 - E&CE471 Electromagnetic Waves Final...

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1 E&CE471: Electromagnetic Waves Final Examination (Spring 2008) Aug 12, 2008, Instructor: A. H. Majedi Duration: 2.5 hours. Calculators are permitted. Full mark constitutes 100 . ------------------------------------------------------------------------------------------------------------ Name: Student ID#: 1- Using the generalized scattering parameter, find the scattering matrix of the following circuit in which a series reactance jX connects two lossless transmission lines with different characteristic impedance, 1 o Z & 2 o Z . [20 marks] 1 o Z 2 o Z 2- Consider a microwave source sending 2 GHz uniform plane wave having an amplitude of 274.6 V/m that is incident on the human body surface. At this frequency a typical parameters of human body is 5 . 1 S/m, 50 r and 1 r . a) What is the intrinsic impedance of the human body at this frequency? Is human body is a low-loss dielectric at this frequency? [3 marks] b) Calculate the skin depth. [4 marks] c) If the incident wave is in free space, what is the transmission coefficient to the human body? [3 marks] d) How much power density is absorbed within 15 cm of the human body. [5 marks] 3-
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