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quiz1_solution[1]

# 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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