2.47
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Transcript of 2.47
Problem 2.47 Use the Smith chart to find the reflection coefficient correspondingto a load impedance of
(a) ZL = 3Z0
(b) ZL = (2− j2)Z0
(c) ZL = − j2Z0
(d) ZL = 0 (short circuit)
Solution: Refer to Fig. P2.47.(a) PointA is zL = 3+ j0. Γ = 0.5e0◦
(b) PointB is zL = 2− j2. Γ = 0.62e−29.7◦
(c) PointC is zL = 0− j2. Γ = 1.0e−53.1◦
(d) PointD is zL = 0+ j0. Γ = 1.0e180.0◦
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AN
GL
E O
F R
EF
LE
CT
ION
CO
EF
FIC
IEN
T IN
DE
GR
EE
S
—>
WA
VE
LE
NG
TH
S T
OW
AR
D G
EN
ER
AT
OR
—>
<—
WA
VE
LE
NG
TH
S T
OW
AR
D L
OA
D <
—
IND
UC
TIV
E R
EA
CT
AN
CE
CO
MPO
NEN
T (+jX
/Zo), O
R CAPACIT
IVE SUSCEPTANCE (+jB/Yo)
CAPACITIVE REACTANCE COM
PONEN
T (-jX
/Zo), O
R IN
DU
CT
IVE
SU
SCE
PT
AN
CE
(-j
B/
Yo
)
RESISTANCE COMPONENT (R/Zo), OR CONDUCTANCE COMPONENT (G/Yo)
A
B
C
D
Figure P2.47: Solution of Problem 2.47.