Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Chapter 6, Problem 6.16P
To determine
The corresponding circuit for load impedance
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A 502 transmission line is terminated with a 502 resistor on series with a 2 * 10 H inductor. If the
frequency of the operation is 60 10° MHz find the reflection coefficient at the load.
*
Select one:
O a. 0.36e56
О .1
O c.0.45e22
O d. 0.6e 37
Oe. 0
Design a microstrip for a 50 ohms characteristic impedance. Use h=1.6mm epoxiglass substrate. Calculate the the wavelenght of a 2GHz signal in this waveguide.
The reflection coefficient (KR) of a transmission line that has a characteristic
impedance of Zo=50 ohm/unit of length and a short circuit load is equal
to
1
-1 O
-2 O
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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- An EMF source has an internal impedance of 100+ j0 ohms, and EMF of 3 V. Using Zo = 50 , find the reflection coefficient and scattering variable for the source.arrow_forwardA manufacturer synthesis a high frequency laminated substrate with characteristics as Table below at 10 MHz. Substrate S1 104. 48. 3S/m S2 Ho 5.8 x 107S/m °3 S3 Ho 6.1 x 107S/m S4 Ho 248, 4S/m S5 Ho 81ɛ. 25S/m (a) Which of these materials can be treated as the best conducting at 10MHZ and justify your reason with two characteristics of the material. (b) Based on your answer in (a), kindly assist the manufacturer to determine other characteristics which are phase constant, velocity, wavelength, skin depth and intrinsic impedance.arrow_forwardWhat is the required bandwidth according to the Carson's rule, when a 100 MHz carrier is modulated with a sinusoidal signal at 1KHz, the maximum frequency deviation being 50 KHz.arrow_forward
- M.C.Q At higher wavelength , Planck’s law is converted into wein's law rayleigh- jeans law stefan's law Kirchoff's lawarrow_forwardA transmission line of characteristic impedance of Zo=50 ohm with length of A/4 loaded by a load impedance of 150ohm find 1- the load reflection coefficient 2- the standing wave ratio (SWR)arrow_forwardA rectangular waveguide has a dimension of 3cm by 2 cm is used to transmit a signal of 8 GHz. Determine cutoff frequency under dominant mode.arrow_forward
- 3) Solve the cutoff frequency for the first mode and second mode of WR975 Wave guide TABLE 7.1 Some Standard Rectangular Waveguides Waveguide de signation a (in) b (in) t (in) fe, (GHz) Frequency range (GHz) WR975 9.750 4.875 0.125 0.605 0.75-1.12 WR650 6.500 3.250 0.080 0.908 1.12–1.70 WR430 4.300 2.150 0.080 1.375 1.70-2.60 WR284 2.840 1.340 0.080 2.08 2.60-3.95 WR187 1.872 0.872 0.064 3.16 3.95-5.85 WR137 1.372 0.622 0.064 4.29 5.85-8.20 WR90 0.900 0.450 0.050 6.56 8.2–12.4 WR62 0.622 0.311 0.040 9.49 12.4–18arrow_forwardCalculate the guided intrinsic impedance at 20GHz for the lowest order mode of the rectangular waveguide wit dimensions a=0.7 in and b=0.3 in. Take relative permittivity as 2.76arrow_forwardZo=75522 l = 2c.m. 12T 2₁ 37.5 +57552 = f= 3 GHz •Find: (o), SWRarrow_forward
- 1. Matching of a transmission line with a characteristic impedance (Zo) and a load impedance (Zn) can be obtained when (a) ZR 0.5Zo (b) ZR=2Zo (c) ZR-Zo (d) ZR-0 2. Standing wave ratio (S) for a short circuit load connected to a transmission line is equal to (a) S=0 (b) S= -1 (c) S= Infinity (d) S=1 3. Any transmission line repeats its impedance, voltage, and current characteristics every . (Where n-0, 1, 2, 3....etc.) (a) nλ/2 (b) nλ/3 (c) ni/5 (d) n2/6arrow_forwardAn air-filled rectangular waveguide has dimension of 3 cmm9 cm. The mode(s) that can propagate through the waveguide for an operating frequency of 9 GHz is/ are TE01 and TE10 TE10 only TE01, TE10 and TE20 O TE01 and TE20arrow_forwardQ1: A circular waveguide is filled with a dielectric material that has er-3. If the cut-off frequency at the dominant mode is 8 GHz, find the mode that has a cutoff frequency of 13.27 GHz. a 1 2 134 4 n=0 3.83 7.01 10.17 13.32 n=1 1.84 5.33 8.53 11.70 n=2 3.05 6.70 9.96 13.17arrow_forward
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