A 50Ω lossless transmission line is terminated in a load (50+j100) Ω. Using a smith chart, determine the reflection coefficient.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
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Publisher:Robert L. Boylestad
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Question

A 50Ω lossless transmission line is terminated in a load (50+j100) Ω. Using a smith chart, determine the reflection coefficient.

CAPACITIVE REACTANCE COMPONENT (Xzo). OR INDUCIIVE SUSC
The Complete Smith Chart
Black Magic Design
0.12
0. +++
O.13
++++- +++
0.41
0.1
0.14
039
038
0.37
0.4
0.36
0.15
009
100
++++
0.35
110
0.16
0.08
70
0.34
0.42
120
0.07
0.33
60
130
0.18
0.2
0 n 14
140
0.05
032
50
+++
10.4
10.6
3.0
10.8
10
0.2f
SIST
CECOMPONENT (R/Zo), OR CONDUCTANCE COMPÓNENT (G/Yo
10.2
10.4
-130
0.43
09-
0,33
001-
06
0.12
+
0.38
0.14
SED
0.13
037
SWR
RADIALLY SCALED PARAMETERS
o100 40 20
dBS
10
2.5
2. 18. 1,6
TOWARD LOAD->
40 30
1,2, 1,11, 15 10.
20
15
1.4
10
- TOWARD GENERATOR
8
6.
5 4
9. 10 12, 14
REL. LOSS (B
SW. PBAK (CONST P
2
3
2
11
7
1.2 1.3 1.4
. 0,8 0,8, !.
1.4 1.5 1.6 1.7 1.8 1.9 2
1.1
0.9
0.8
0.7
0.6
0.5
20
30 0
1.6 1.8 2
0.4
0.3
0.2
0,1, 0,2
0.1
0.4
3
5
10 20
0,8
0,7
0.1
0.05
0.01
1.5
0,6
0,5
ol0
1.1
0.4
0,3
1.2
1.3
10 15
0,2
0,1
01
0.99
0.95 0,9
2.5
0.0
4
5
10 0
0,1
0.8
0,6 , 0,5 , 0,4 , 0,3 , 92 , 0,1 , ?
0,3 04,
0,7
CENTER
ORIGIN
TRANSM. COEFEE
0.9
1.6
TRANSM. COEFR, EN?
++++++
0.3
0,2
0.19
3.20
0.31
30
40
0.31
0.19
SW. LOSS COEFF
90'0
0.45
RTN, LOSS (4B)
REL. COEFF. P
RFL. COEFF, E orI
Transcribed Image Text:CAPACITIVE REACTANCE COMPONENT (Xzo). OR INDUCIIVE SUSC The Complete Smith Chart Black Magic Design 0.12 0. +++ O.13 ++++- +++ 0.41 0.1 0.14 039 038 0.37 0.4 0.36 0.15 009 100 ++++ 0.35 110 0.16 0.08 70 0.34 0.42 120 0.07 0.33 60 130 0.18 0.2 0 n 14 140 0.05 032 50 +++ 10.4 10.6 3.0 10.8 10 0.2f SIST CECOMPONENT (R/Zo), OR CONDUCTANCE COMPÓNENT (G/Yo 10.2 10.4 -130 0.43 09- 0,33 001- 06 0.12 + 0.38 0.14 SED 0.13 037 SWR RADIALLY SCALED PARAMETERS o100 40 20 dBS 10 2.5 2. 18. 1,6 TOWARD LOAD-> 40 30 1,2, 1,11, 15 10. 20 15 1.4 10 - TOWARD GENERATOR 8 6. 5 4 9. 10 12, 14 REL. LOSS (B SW. PBAK (CONST P 2 3 2 11 7 1.2 1.3 1.4 . 0,8 0,8, !. 1.4 1.5 1.6 1.7 1.8 1.9 2 1.1 0.9 0.8 0.7 0.6 0.5 20 30 0 1.6 1.8 2 0.4 0.3 0.2 0,1, 0,2 0.1 0.4 3 5 10 20 0,8 0,7 0.1 0.05 0.01 1.5 0,6 0,5 ol0 1.1 0.4 0,3 1.2 1.3 10 15 0,2 0,1 01 0.99 0.95 0,9 2.5 0.0 4 5 10 0 0,1 0.8 0,6 , 0,5 , 0,4 , 0,3 , 92 , 0,1 , ? 0,3 04, 0,7 CENTER ORIGIN TRANSM. COEFEE 0.9 1.6 TRANSM. COEFR, EN? ++++++ 0.3 0,2 0.19 3.20 0.31 30 40 0.31 0.19 SW. LOSS COEFF 90'0 0.45 RTN, LOSS (4B) REL. COEFF. P RFL. COEFF, E orI
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