, Weert Chapter 11
F-0131
1A .
1 = ±/
1b .
-1 =±j
1C . 49--1=7
Id . -49--1=7;
2 -9,24 = ±
3,04J
3A .
Xt ✗ +1=0
D= 12-4 -
1-1 = -3
→ ± -3
✗ 1,2 =
2
= -
{± {J
3b .
75+5+1=0
'
D= 1 -
4-7.1=-27
-1 ± -27
kin =
14
= -
f. ± ?? j
4A .
15 -3J
Gb .
3) +2
4C .
-
ÊJ +3
^
hd . 2
-
f. j
31-2 ) 5- 4J 15-121-+105+8 -2J
ZIJ
23
5A 5+4]
•
=
25+16
=
41
=
}? -
. 5- hij
5+4) 3 -2J 15-10J +12J +8 23 +2J
tijd j
23
• = =
=
56 .
31-2 ) 3-
zij 9 + 4 yg 13
6A .
ZZz : 3+51
'
-
3-
5J = 32+52--34 '
2-1 31-5) 3+55 9 +15J +15J -25 -16+301 16 8 15
34+3%0 /
'
+17J
= = =
-
=
66 :
. -
.
2-2 3 -5J 3+-9 9+25 34 17
2-2 3 -5J 3 -5J 9 -15J -15J -25 -16 -
30J 16 30
8 15
17J
.
-
= -
34J
= = -
6C
. _
Ze :3 5J 34 34
=
17
.
+5J 3- 9+25
5 J 2J /+j zj -2
5J =
IJ
.
=
'
'
Te
=
7- a. ij j
-
.
1- j rij 1+1
ztj _
j -2J +1
zj
=
=
1-
7-b
.
.
j -
j 1
4 +J
'
{yj
3 12+31 "
+
7C
•
=
=
.
4- j hij 16+1 yq
j 1-j ""
{j
^
7-d. zt
' =
=
rij 1- j 11-1
,da .
2- = a- jp
8D . Z = COSQ -
jsino
8C 2-
COSO-tjsin08d.Z-coslwtltjs.in/wt
=
.
)
(31-2jij / 4 -3J) (3+2)-1141.1-31=121-+9-8 +6J
'
ga .
= =
11-181
gb (5+31112+1-112 j) (51-31-1122+12)=20+51-121-+3] 251-151
.
-
= =
.
12+14-181^+21=33 -4J j -1 33J 33+4+45
"
( 2- 3J) ( 6+7;)
-29+2371 229 +327g
-
.
. = = = -
=
9C .
jltj) j +1 j +1 j -1 1+1
10 ✗ =-3 tj VK = -
j
3-
(Xt } j) / 21-3 +j )
- = 0
'
X +3×+74-+3×+9 +3J xj -3J +1 -
zit 6×+10=0
11 k =/ VX = 1- j ✓ ✗ =/ tj
( x 1) ( X
- -
tij) ( x -1 j)
-
= 0
(x -
1) ( x2 -
x -
xj -
✗ +1
tjtxj j + 1)
- =
( x 1) (22-2×1-2)=23 2×2+2×-3<2+2×-2
- -
=
}
x _
3×2+4×-2=0
, F-0132
Im Im
1A .
3
Re
1C . ÷ Re
•
3
Im Im
↳ •
1b .
-4
Re Id .
Re
•
7
2 2- =3 +8J
2- = 32+82 = 73
argcz ) = toen -491=69,40
3 2- =-3 -6J
2- = 1-35+1-65=3 5
argczt-tan.tl :{ 1=63,40
ha Z, 2-2=4+51
.
=
372J ,
2-1 Zz = 321-22 .
42+52 =
533
2-1 32+22 13
=
=
heb 2-2 42+52 41
5 2-
COSO-tjsinOZ-CO50-ts.in
=
-0 = 1
Ga . 21700 8D . 212,306
Re : 2051700 ) = 0,684 Re : 20512,306 ) = -
1,34
Im : 25in ( 709=1,879 Im : 25in (2,3061=1,48
bb .
411T
Re : 40511T) = -4
Im : 45in ( IT) = 0
6C . 8<1 I) -
Re : 8cal E) -
= 0
Im : 85in / -
E) = -8