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quiz1_solution[1] - Name T l Student Number 1" ELEC3909...

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Unformatted text preview: Name: _ T! l Student Number: 1 " ELEC3909 Quiz 1 May 14, 2009 ‘ I. A TEM plane wave propagating in vacuum has magnetic field component given by? = (H 03"“"m ,0, 0) {1) {123111}; J - fl“; 1 mark a) In what direction is the TEM wave moving? b) From your knowledge of the relationship between E and if fields in TEM waves, write an expression for the electric field associated with this wave. Express the amplitu‘depf the electric field wave in terms of Hg. No calculations are necessary. Show the relative directions of E, H and the direction of propagation on the axes below. __. _. fl 2marks E “fiXE {/g fl 1; {4”2d1‘rtcmq ' t 'Mttk) FE : (-0» OJ H EOEj 3) . TL _ .9\ E0: 2H9 xt/{ilt\lj E: (0,50, - thoefswk”) _ c) Show that 6 07.5 = 0 for the electric field you found in (b). Why would you expect .60 E“ = 0 in vacuum? "at: (sir, 2%", 3%" -(0) 0, —ZoH.,e““""”) 2”“ : 0+ 0 + —3%(-ZoH-ijwm) :0 figuring rt» Maxwell: aiming, I}? l :98 Because there is no dingo sleet}? m Vacuum, egg; 0‘ d) Show that the fifield specified in (l) and the f field you found in (b) satisfy Ampere’s law provide a certain relationship holds between to and k. State this (relationship. 4 marks Alli-fem law '6 th -' E; —i% A .4 .4 /" :1 MS NH: 3 = 5" f 57. ‘5‘ '33“ : a-(o,0, enojmej‘mmu : (O, [93 __ g‘ZOHojO-lejfwt+kj)) Weds with —HuijJ(wHW : _. EOEHojw nyiW} Hk=aamw ; k:aaw I I .72.: 2:8 .. E‘s: — Jfi°5 e) What is the physical meaning of (I) {k for a travelling wave? 1 mark Ping: VelaC'r‘g {It ‘HUL “UM/elm WW6 ...
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