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 6.9P
Starting with a 1 .0-mm-diameter solid copper wire, you are to design a
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Question # 01: A piece of RG-59B/U Coaxial cable has a nominal capacitance of 0.5
F/m, and 6.5 H inductance per meter. The diameter of the inner conductor as 0.8m,
and the dielectric constant of the insulation as 4.95. Find the diameter of the outer
conductor in cm. Assume the line is a lossless line?
A coaxial cable is 10 meters long, and is filled with lossless Teflon, having a relative
permittivity of 2.1. There is a matched load at the end of the line (this means that there is no
reflection at the end, so there is only a signal traveling in the + z direction). At the input of the
line, a sawtooth waveform is applied, having a peak voltage of 1.0 [V] and a duration of 1.0
[ns] (the time from the beginning of the waveform until the end). Make a plot (versus time) of
what an oscilloscope would read if it were connected to the line at various locations,
corresponding to the following values of z: 0.0 [m], 1.0 [m], 5 [m], 10 [m]. Plot out to 50 [ns]
1
K
7.3 The inner and outer conductors of a coaxial cable have radii of 0.5 cm and 1 cm, respectively.
The conductors are made of copper with E,= 1, .= 1, and a = 5.8-107 S/m, and the outer
conductor is 0.5 mm thick. At 10 MHz, determine the ac resistance per unit length of the cable.
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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- Discuss what waveguides are? What is the fundamental difference between propagation in waveguides and propagation in transmission lines or free space? Formulate and calculate the cutoff frequencies in it for the following modes: TE 1,1 TM 0,1 TE 0,1arrow_forward1. What length of standard RG-8/U coaxial cable would be required to obtain 45 degrees phase shift at 200 MHz? Assume that the velocity factor is 0.66. Hint: Lengths of line that are not equal to a wavelength yield a phase delay proportional to their length. Since a length A produces a phase shift of 360°, the phase delay produced by a given transmission line is 0 = (360°) O is the phase shift L is the Tx line length A is the wavelength of the Tx line Wherearrow_forward7.30 The inner and outer conductors of a coaxial cable have radii of 0.5 cm and 1 cm, respectively. The conductors are made of copper with E,= 1, ₁ = 1, and a = 5.8x107 S/m, and the outer conductor is 0.5 mm thick. At 10 MHz, determine the ac resistance per unit length of the cable. CAMARAANIDEarrow_forward
- What is the value of the input impedance half wavelength from the load? a. ZL b. minimum c. maximum d. Zo For an open circuit line, the location of the first maximum current is ____. a. at the load b. λ/4 from the load c. 0.125λ from the load d. λ/2 from the load What is the phase difference between two points that are half wavelength apart? a. 90° b. 45° c. 180° d. 270°arrow_forwardA time domain reflectometer (TDR) of output impedance 50- sends a step voltage down a 50-2 transmission line that is terminated in an unknown resistive load and displays the voltage at the sending end of the line, Figure Q6a. The line's insulating material has a relative permittivity, &= 2.25. Determine: Q6 (a) (i) the source voltage of the TDR, (ii) the length of the line, and (iii) the load resistance. V(0,t) 6 V- 3 V- 12 us Figure Q6a (b) The TDR in part (a) is now connected to a metre-long 50 Q transmission line which is terminated in a load of 100 N. Calculate and sketch the voltage at the source for timet = 0 to t = 15 ns, given that the velocity of propagation on the line is 2 x 10 m/s.arrow_forwardQ/ The wave impedance of the TE10 mode of an air-filled rectangular waveguide at a frequency of 15 GHz is given to be 480 2. a- Calculate the cutoff frequency for the TE10 mode of this waveguide b- Calculate the 'a' dimension for the waveguide c- Calculate the cutoff frequency for the TE11 mode for this waveguide assuming b-0.4a d- Calculate the wave impedance at the frequency of 15 GHz for the TE10 mode if the above waveguide is filled with a dielectric with &,-2.5arrow_forward
- For multimode step-index fiber with core index of 1.68 and radius of 35 um. The index difference is 3.75%. For a wavelength of 1150 nm, the optical power propagating in cladding is what percentage of total power? (a) 2.1% (b) 2.5% (c) 1.8% (d) 1.4%arrow_forwardA piece of RG-59B/U Coaxial cable has a nominal capacitance of 0.9 Farad/meter, and 8 Henry/m inductance per meter. The diameter of the inner conductor as 0.8m, and the dielectric constant of the insulation as 4. Find the diameter of the outer conductor in cm. Assume the line is a lossless line?arrow_forwardA coaxial cable has an inner conductor diameter of 0.04" and an outer diameter of 0.2 inches. The center conductor is copper, and the dielectric material is polyethylene with relative permittivity of 2.24 and a loss tangent of 0.0006 at 2GHZ. a. What is the wave propagation velocity in this coax? b. What is the value of the attenuation constant due to copper at 2 GHz? c. What is the value of the attenuation constant due to dielectric losses at 2GHZ? d. If we want to have at least 50% of the input power delivered to a match load, what would be the maximum cable length if the voltage at the input to the cable is 10 V at 2 GHz?arrow_forward
- Calculate the guided intrinsic impedance at 20 GHz for the lowest-order mode of therectangular waveguide with dimensions a=0.7 in and b=0.3 in.Take relative permittivity as 2.76.arrow_forwardSolve for the (a) total resistance and (b) total current of a 40 V ac voltage, with 100 Hz frequency, connected to resistors shown in the figure. Calculate for the (c) period, (d) wavelength, (e) VM, (f) IM, (g) VP-P, (h) IP-P, (i) VAVE, and (j) IAVEarrow_forwardQuestion # 01: A piece of RG-59B/U Coaxial cable has a 950 characteristic impedance and a nominal capacitance of 89pF/m. What is the inductance per meter? If the diameter of the inner conductor is 0.654mm, and the dielectric constant of the insulation is 3.23, what is the outer conductor diameter? Assume the line is a lossless line?arrow_forward
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