1. The document describes a plane electromagnetic wave propagating along the negative z-direction in free space with a frequency of 100 Hz.
2. The maximum amplitude of the electric field is 1 V/m and is observed at t=0 and z=-12cm.
3. The magnetic field expression for the instantaneous magnetic field is B(z,t) = 0.326 Cos(1.257x10^8*t - 4.19z) mT.
1. Excpes Eyz,t=looCas(laSt -Dsz 136) Vm
a s a phasoe
j(1o-o]
t3)
Exponential hotatioin Éylz,t) = Re[1a o e
Jot7
ReExe
e
phcso1 91m
es e
Ayslz) l00 JOSZtL30
ve ha Compax _ampltude etue Rlechc eld
ea unu plane ve D
E lo00+_ L30 ay
phoso
Y/m- Constaud the
Ond Ral stantaneas ads
nouon-
eond Zdirecfon- poPak
in eaOpace
Uttu
oloOHZ
2. E toc oLas ay
Jkoz
Exs Ex e Phaso1
Eslz)
_2ix lo
Ko O-2 Tad/m
Beal_islantaneou
Jkozjiat
ElzE) =Relaoe e
=Raooe
e - 2 z ot
e
J30
e
0212 JRUREE
3. -Rel1oDe
J(2 t -
o-2t
+
0 .J(27 xi't-
o.21z136) a
ECt) loo Cos(27 xiot -o21z) Ax f
ad
20 Cos( o1 xjat -
o.2/Z t 30) 9
The The moximum amplitudla e te Rlache ield a
propkaatinq
negatiue Uz. dlsuttou
The elohc eld spolasiged
SO HZ urlor
eo
plaina ove
pacaU along he
o.S V/m
- oLueefot and ts manu m Yalue w
hsexved at to and Z=-12cm Obtam
eKpLUmiona Lstonlaneous
R moqnetie kieldls Ako uY
Magnetic
pleere
the e id
he Soienlatiou
eetos.
he Alochiceld
Y-dusctou, popgatrn alorg
Jstenlanetu oim
pola e
-z diste elo
ECt) - a E4Cos(uot+Koz+ o)
4. L 24=
2nx 2Sox L
slo8 aLosad/<
L S H o 8 x o 7
wavenumber Ko
Ko 5.236 Tad ls
MaxRleehiceldio v.as D-5V/, u
ohSerued-at t+o, and Z 2cm
wtK Xo+
Sinte tha max. amplituoo otu reld auld
be oblained CAnen oReume 0flosine
PnChou becoms Onu ustu nol,2 -
O-(536)x12 p
S236 x 12x1 tcoao
5. 0-6.283
.E(zE) a0s Cas(c1o8xiott
536Z t) Vm
Sin lu Rleche
eld polazed aleng
-ucttou uottu
tnhe
UWave
propmqa ting
- dn thou
0vientd
magetie ield
dlo ng the KdLLtioU
e
Bhold be
X X
THx
the) 4Eyo/314
344to5D5/374
Hzaof 826 m
6. magnUc
exprexs/oM ot tha
Lnstantantous
eeld
=a1326 (os S1ogxiot+324
mA
exetsiou s a magrutiu
travetlng u
im-domqin
e ea wuprm plane wgve
#(z.t)a ay s Cos1251Xot-z)
Am
nd a)HduLehton e Oave PoPagato
opoualigyn
phase conslanT
d_dime-domai RxpA0AoM Rleclstueield
toaiingo Manuwels
6
e polizaton Rlaclne Rield 19eetol
thephoo of RleciML magnubie eld
7. a Hyo_Casluet-koZ+4
au Cas( 12-4xudt -ko)
-25 7 xmo
@long Hhe +z
a)t wae
duetiou
prD2 ahnq
25 xo 200 MHz
Ko 2 xo
Ko A19 9Lado
d)
Ot
az
dt
H Hy H
8. Magnetic kreld es ony Conipornt
elds-alms
No Spatial
duéhou
hyD
D O dt
DH J
S_ca(L24xet -KezD
d2
Sin
Sin 1-2sxt -Koz AD
koz
9. E Sn12S7xe t
Ko-ctt
xid Ko-
EO Cac1.25 x-koz
C
Ko= 4.9 sadIm lo
sXIDx D O lo44
O 0l1l21
0H12
E 0-912 Cas28rA Atot - koz
the
e) Elechie eld polo zed alonq fhe
+ deton