EECE 380 Exam 1 Solution, Fall 2011
American University of Beirut · Engineering Electromagnetics · 6 pages · with solution
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»P coblam 4:
ex€- Ac ay ag =Cé60~6) a, +(3-Bo)ay + Elo -lo)ag
a ‘e 3. = (66,-24,-70)
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use
b
i Ado -J rs Grp = 2 Ces) | -2( dea -1L) = -JST4l
o a
G
$=60
Mona oc , Gh = BOP 45” amd AL- ara, - Were
c S
Vaca = J rees@de = cos us
b L
a2
2 rae ra aL
- U2T« 2
* Mong ad, C= 5° onal dhavddag , 4
d 6° Coe
Sade =f cso BSE 2S Cesg)| = 5 ( 4 -%2)
c . a ra
P=45° 45
= ~SC-S7)
7 —___
7a
- Wor da, Dp - 60° ond dL2~Aca, . Hence
S Rds Cc cesgde = cose | =a + 2l
5 q
a C25
Pudiina, all Vege. \ogether cede WA
A.dQ=-J24l 4 use _ 5-55 at
L 4 a Y
= ~t0n 4 ,2Ou _~o-19 ST oat = @Fou —t*
4S G q <<) 4
= 2.4935
scan, Steers theorem Checomae L na desea eth)
Gaal. Tovah) ds
Buk 46. cd¢de a antl
aA afr _ Ae t fd (cay) aft
7x Nea, {+ Bas - Be] oe (She ed ee S-(cAy) ag
= Co -0) A + (o~o) ge 4 4s Cirr)eagmag
Reo blow A
RQ BenC wor (o,0) Y= 3 cartes (on C/m™s &
fad Doak Co,4,3)
ak (oi4)3) dua te MR -BSL ey
Wi - GAG = §
E = Roxio" (3g + Har, J
go
4 t —
* Ber <'o° 25
D+ Se E. Boris? C2e, +t)
UT «128 eT)
duahe S, ; C= Bs & = lox ©" a ; * : : |
22, + Ze %
= 2, Gs t& = Sey
un
9}
w
x
c
Dr-D, +B = WEE +¥e Sy, Say = 0.0892 S, 4 5. oPETY NS
2
MTX AZS ™
QD we cig choice .
Yrollem B 5
Quite NC /_? Ce
at v=2; €= 9 wn a oe
T rg ned!
. Ses .¢ “SR Ode die = fs j"fatacs
Gt Ste ede fie = retC it)
iv coal)
= ae eye Mectde (suede (ax
lo © °
= = ("cu wen
Vane ExY=h [ww jE. 'c-
eo 4 9 é.
X™ ly et
« ? wt AT
= § Zcrdc “5% (sine fie
bo o
= 2.10" tee |
F 2sidt actu
Se
hence c. ‘he lot uct? _ Es ctxto" _ _o
fe a> son *'S 2,63
4 —_
= = 26. ay Vim.
saggy = CREA [wn
®© a te igh Avie -
Recelom 4 %
VYexr4¥eky rte Fat C14r3)7?
Ee VV =o] Cegia + Cmte) EAR]
Ear CUu2%sye- (3&2, +Oay +2O) = -Bay- tay
Ox» ho riawct choita.
Problem (© x
Sie Qe normal) fo the bowrdary plane, we ehtaue lity nor nial
Comenrenty, ar:
Ey= Fy @= Si A, =3 E,,: 3 ne
Saws CE, ary Oe a2o E. E,+Ee
eres, EF.. += &,- Gy, = 3a. ~ Cay
Rivets Cle Ee = ke ~ %ay
Similonla, DL, = DBD, hn —> — | cr Ce, -€ ron Ein
elas ec &, -2(2@,) = ay
Ce
Wr Fe = Cre t Ean 2 SQL -2Ty tO By K Wn
Mw te NA choia
—) Bay ~2aly
[= = Sax ~ Cay +aarx
Redduuw WV \
BCHHi15) & UW Neo Areleckrre medium sce Y=ldp at B
= = 36 a = Nie 56.54 Y
iw) SKlO x lO ~ iZTa = Ey fim
aural E- - A q
TH we Tar doi ce.
PR rolbowr Vay
Se CRY)= aidR
Py C)y=az0
2 Cr)= Testo
ara b=§ S$, CRy= SR CCl)
Des = RE C Clim)
> = Q Os RE Re CC/m™)
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