Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Question
Chapter 6, Problem 6.23P
To determine
The reflection coefficient
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Find the input impedance (Zin) for a lossless transmission line shown in below:
B
C
A sa/8-
- 52/8-
He 31/4 te
/2-
O
O
Zin
Z, = 50 2
100 N
Z, = 75 2
%3D
ZL = 60 – j 35 n
%3D
Three lossless lines are connected as shown in the figure
below. Determine the input impedance.
a/2
2/4
3A/4
Z,,= 500
Z= 1000
Zg= 750
Z= 60-j40 Q
"03
4. Two antennas, each of input imdedance Z=73+j0 Q, are fed with lossless
lines from a generator. The length of all the lines is 3/8, as shown in the
following figure. Determine the input resistance Zin.
31/8
lin
3002
73Ω
ww
Zc=1502
100 Z0°
Ze=3002
31/8
Zc=150
73Ω
Zin
3/8
Chapter 6 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 6 - Prob. 6.1PCh. 6 - Prob. 6.2PCh. 6 - Modify (6.3) to include internal inductance of the...Ch. 6 - Prob. 6.5PCh. 6 - The specifications for RG-214 coaxial cable are as...Ch. 6 - For the RG-214 coax of Problem 6.6 operating at...Ch. 6 - If 1.0 W of power is inserted into a coaxial...Ch. 6 - Starting with a 1 .0-mm-diameter solid copper...Ch. 6 - A coaxial cable has a solid copper inner conductor...Ch. 6 - Prob. 6.11P
Ch. 6 - Prob. 6.12PCh. 6 - Prob. 6.13PCh. 6 - A source with 50- source impedance drives a 50-...Ch. 6 - Prob. 6.15PCh. 6 - Prob. 6.16PCh. 6 - The input impedance for a 30.-cm length of...Ch. 6 - For the lossless T-line circuit shown in Figure...Ch. 6 - Prob. 6.19PCh. 6 - Prob. 6.20PCh. 6 - Prob. 6.21PCh. 6 - Repeat Problem 6.14 using the Smith Chart.Ch. 6 - Prob. 6.23PCh. 6 - Prob. 6.24PCh. 6 - Prob. 6.25PCh. 6 - On a 50- lossless T-line, the VSWR is measured as...Ch. 6 - Prob. 6.27PCh. 6 - Prob. 6.28PCh. 6 - Referring to Figure 6.20, suppose we measure...Ch. 6 - A matching network, using a reactive element in...Ch. 6 - A matching network consists of a length of T-line...Ch. 6 - You would like to match a 170- load to a 50-...Ch. 6 - A load impedance ZL=200+j160 is to be matched to a...Ch. 6 - Repeat Problem 6.34 for an open-ended shunt-stub...Ch. 6 - A load impedance ZL=25+j90 is to be matched to a...Ch. 6 - Repeat Problem 6.36 for an open-ended shunt-stub...Ch. 6 - Prob. 6.38PCh. 6 - Prob. 6.39PCh. 6 - Prob. 6.40PCh. 6 - Prob. 6.41PCh. 6 - Prob. 6.42PCh. 6 - Prob. 6.43PCh. 6 - Prob. 6.44PCh. 6 - Prob. 6.45PCh. 6 - Prob. 6.46PCh. 6 - The top-down view of a microstrip circuit is shown...Ch. 6 - Prob. 6.48PCh. 6 - Prob. 6.49PCh. 6 - Prob. 6.50PCh. 6 - Prob. 6.51PCh. 6 - Prob. 6.53PCh. 6 - Prob. 6.54PCh. 6 - Prob. 6.55PCh. 6 - Prob. 6.56PCh. 6 - Prob. 6.57PCh. 6 - Actual pulses have some slope to the leading and...Ch. 6 - Prob. 6.59P
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- [Q6] A voltage generator with vg(t) = 5 cos(2л x 10°t) V and internal impedance Zg= 50 2 is connected to a 50-2 lossless air-spaced transmission line. The line length is 5 cm and it is terminated in a load with impedance ZL (100-j100) 2. Find = (b) Zin at the input to the transmission line. (c) the input voltage and input current I. (d) The average power delivered to the loadarrow_forwardFor a lossless channel show that: H(X/Y) = 0arrow_forwardCalculate Zin at the load using smith chart for total transmission lines, while the wavelength is 10 cm for two lines? 2.4 cm 3.5 cm Z01 = 100 N Z02 = 750 R = 1500 Zinarrow_forward
- A lossless T-junction power divider has a source impedance of 50 2. Find the output characteristic impedances so that the output powers are in a 2:1 ratio. Compute the reflection coefficients seen looking into the output ports.arrow_forwardFind the input impedance (Zin) for a lossless transmission line shown in below: B - 52/8 31/4 /2- Z, = 50 2 Z, = 100 N Z, = 75 2 Z, = 60 – j35 s Lin %3Darrow_forwardlossless transmission line has a characteristic impedance of Zo=302, load reflection coefficient is 0.5 . What is the load impedance? 90 120 240 150arrow_forward
- A sinusoidal voltage wave is propagating on a low loss transmission line. The voltage as a function of position appears as shown below. From this plot, the phase constant B= Voltage 25 20 15 10 -10 -15 -20 -25 10 20 30 40 50 60 70 80 90 100 Meters 0.562 0.314 0.625 0.489arrow_forwardA 150 Q lossless transmission line is connected to a load impedance ZL= 100-j50 2. Find the position d and length I of a short- circuit stub required to match the load 1 Add filearrow_forwardDetermine Zin of a lossless 50 Q transmission line X/4 long having a ZL = 50 Q2.arrow_forward
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