hw1 to balanis solutions

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---- ------- - -- --- --- - I A (0.) 1) - 'j,i. i.1 .J? =-3+4=i 5 0 0 X=O 0 0 )(:1 tb) 1): a - '1'1 io'i Go. ; f ! .. )·1 -4+5':\' 5 00 00 ,rl _- (1)'2. -1> ]) "T "= -:- o.'2.==? 1)2-2= - be s =- =- Q, ""1L """- -:::. +Q. Q t d ) Eo;1E-i-;;,J)-i. i- J)± -;:, } :: -------&:1--::. _ <V -:1.- ..{_-l_C) ---- -- - --;I\-e1.. - -- ,.).. -:- - -- ---- - -:r1. ;:: E_!.

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Solutions to chapter 1 in Balanis Book

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Page 1: HW1 to Balanis Solutions

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I~t.51 A

(0.) 1) =~x(~+'X) - 'j,i. i.1

Q~ =#~ .J? ::.~ ~ ~;((~+x)H.Q'~J~cl~)+Jfa)f,(!+x)\.cl~d=-=-3+4=i 5 0 0 X=O 0 0 )(:1

tb) 1): a (~.;.tJ - ~ '1'1 io'i

Go. ; ~~ .~ • f!a~ (4+~·)I·(-~<lXd..)·1 f~"'+~r)\·~dlC~i= -4+5':\' 5 00 ~o_ 00 ,rl _­

~. (1)'2.-1>:J~bes- ])',~ '!\tU~ ~t 'M~ <oWfllllt'l'\~ "T ~~, ~ "=~: lk:.-l>~"b-:- ~es- o.'2.==?J)~~ 1)2-2=- bes =-~-o. ~:::: ~,G

-:Vi~ =- Q, ~ ""1L ~ """­~-:::. ~. 344~~ +Q. Q Q~

td) Eo;1E-i-;;,J)-i. ~ ~~ i- ~ J)± -~ ~1. -;:, ~c:>& ,:::-~(~.~\+~he ~ } ~ ::

-------&:1--::. ~(2.~ .::\-A.g~") _

<V -~ -:1.- ..{_-l_C)---- -- - --;I\-e1.. - ~--SY:i -- _~...I.. ,.).. -:- - -­

---- --:r1. ;:: -tb~-e1. E_!. _~o

Page 2: HW1 to Balanis Solutions
Page 3: HW1 to Balanis Solutions

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0- H:: a,reE -j ~ c- d ~ 0 .l - d ro 0 .l.J d~ ~ oTo€..l)

A f P\~ ind the. bou,'l\d o.'(~ coY\ct i t.·lO'r\~ C\'\ ~(? toY\t \ Y\u'\ 1or t.~Q.1:~~~I1W e,\€c.b"ic. o.nc\ mo..d\\ttic. f; e\Jc;, cJ.oY\s ~Q. i)-\t~tu(e. ~:t i: =0 \eo.As t>

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1- 1'0 ::~ To::f6"i To f'r()h'\ ceYl~inu;~ or ~(l. m~~e:bc.ti'f.lds

Sc\uin~ ~t~l twa {?,.~U.Cl.:t\OY\s.) we. ~\'rid 11CLt

""1 - 2. ::. 2. -;: Z. ::. .i-::.6.2 o - 1.+(6'1' 'i+~ 8i :L -r '1 S

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