Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Textbook Question
Chapter 6, Problem 6.7P
For the RG-214 coax of Problem 6.6 operating at 1.0 GHz, how long is this T-line in terms of wavelengths if its physical length is 50. cm?
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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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- (V.3) A common commercial size of rectangular hollow-conductor waveguide has (inner) dimensions a = 2.286 cm by b = 1.016 cm. (a) What is the single-mode bandwidth of this size waveguide frequency range (in gigahertz) within which the TE10 mode propagates but the next higher mode does not? [Most practical waveguide systems are operated under this single-mode condition.] that is, what is the (b) The maximum field strength that air can support without breakdown is about 50,000 V/cm (at standard atmospheric pressure). What is the maximum power that can be trans- mitted by this size waveguide at frequencies within the single-mode band?arrow_forward3. Coaxial cable is used in applications requiring the propagation of high-frequency signal. Such cable consists of a solid conducting cylinder as the inner conductor and a solid conducting cylindrical shell as the outer conductor. A dielectric fills the region between these conductors. Consider the RG-59/U coaxial cable that is commonly used to connect a television/internet equipment. It has an inner conductor with a diameter of 0.584 mm, dielectric filler with a dielectric constant of K = 1.20, and an outer conductor with an inner diameter of 3.7084 mm. Assuming that these conductors are very long, calculate the capacitance per metre of the RG-59/U coaxial cable. Include a derivation of an equation for the capacitance per unit length of the coaxial cable and then use this equation to calculate your answer. (As discussed in class, assign a charge +Q and voltage V to the inner conductor and a charge -Q and 0 V to the outer conductor, solve for the voltage V, and then compute the…arrow_forward6. Explain why in a parallel-plate metal waveguide the loss is lower for a TE mode highly above the cutoff, when compared with the case for a TM mode.arrow_forward
- 2. Up to this point, you have relied on the boundary conditions to solve the mode fields in a waveguide or a resonant cavity. What is the most-used boundary condition you used for a structure with conducting boundaries?arrow_forwardDesign a microstrip line on a 0.5 mm alumina substrate (er = 9.9, tan o = 0.001) for a 50 characteristic impedance. Find the length of this line required to produce an electric length of 270 at 10 GHz,arrow_forwardFrom Eq (3), is the order (m) of the center fringe larger or smaller than that of the edge fringe?arrow_forward
- A signal of 10 V is applied to a 50 coaxial transmission line terminated in a 100 load. The voltage reflection coefficient is?arrow_forwardsolve quickly Antenna and Wave Propagation Detemine basic antenna parameters with examples.arrow_forward9 What is field pattern in m.)TE mode in rectangular waveguide?n.)TM mode in rectangular waveguide?arrow_forward
- An air-filled rectangular waveguide is to be constructed for single-mode operation at 15GHz. Specify the guide dimensions a and b, such that the design frequency is 10 percent higher than the cutoff frequency for the TE10 mode, while being 10 percent lower than the cutoff frequency for the next-higher-order mode. Uarrow_forward6.9 Use the Routh-Hurwitz array to evaluate the following characteristic equa- tion for stability, s4 + 2s² + 5s + 8 = 0arrow_forwardThe internal lengths of the sides of a hollow rectangular waveguide are a and b, with a > b. What value of a is required to give a cut-off frequency of 15 GHz for the TE10 mode?arrow_forward
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