Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 6, Problem 6.10P
A coaxial cable has conductor dimensions of a = 1.0 mm and b=2.7 mm. The inner conductor is supported by dielectric spacers (e> = 5) in the form of washers with a hole radius of 1 mm and an outer radius of 2.7 mm, and with a thickness of 3.0 mm. The spacers are located even 2 cm down the cable. (a) By what factor do the spacers increase the capacitance per unit length? (b) If 100 V is maintained across the cable, find E at all points.
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Determine the inductance per unit length of a coaxial cable with an inner radius a andouter radius b
A coaxial cable of consists of two concentric cylindrical conductors. The region between the conductors is completely filled with polyethylene plastic. The radius of the inner conductor is 0.50 cm, the radius of the outer conductor is 1.75 cm, and the length of
the cable is 15 cm. The resistivity of the plastic is 10130- m. Calculate the resistance of the plastic if the electric field is applied across the inner and outer radii of the conductor.
O 1,6977 x 10o15 ohms
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13.2922 x 1012 ohms
O The answer cannot be found on the other choices.
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Chapter 6 Solutions
Engineering Electromagnetics
Ch. 6 - Prob. 6.1PCh. 6 - Let S = 100 mm2. d= 3 mm, and er = 12 for a...Ch. 6 - Capacitors tend to be more expensive as their...Ch. 6 - Prob. 6.4PCh. 6 - Prob. 6.5PCh. 6 - A parallel-plane capacitor is made using two...Ch. 6 - For the capacitor of Problem 6.6, consider the...Ch. 6 - Prob. 6.8PCh. 6 - Prob. 6.9PCh. 6 - A coaxial cable has conductor dimensions of a =...
Ch. 6 - Prob. 6.11PCh. 6 - (a) Determine the capacitance of an isolated...Ch. 6 - With reference to Figure 6.5, let b=6m, h=15m, and...Ch. 6 - Two=16 copper conductor (1.29 mm diameter) are...Ch. 6 - Prob. 6.15PCh. 6 - Prob. 6.16PCh. 6 - Construct a curvilinear-square map for a coaxial...Ch. 6 - Prob. 6.18PCh. 6 - Construct a curvilinear- square map of the...Ch. 6 - Prob. 6.20PCh. 6 - The inner conductor of the transmission line shown...Ch. 6 - Prob. 6.22PCh. 6 - Prob. 6.23PCh. 6 - A potential field in free space is given in...Ch. 6 - A capacitor is formed from concentric spherical...Ch. 6 - Given the spherical symmetric field in free space,...Ch. 6 - Let V=z(x,y)=4e2xf(x)3y2 in a region of free space...Ch. 6 - Show that in a homogeneous medium of conductivity...Ch. 6 - What total charge must be located within a unit...Ch. 6 - Prob. 6.30PCh. 6 - For the parallel-plate capacitor shown in Figure...Ch. 6 - Prob. 6.32PCh. 6 - The functions V1 (p, , z) and V2(p, , z) both...Ch. 6 - Prob. 6.34PCh. 6 - Prob. 6.35PCh. 6 - Prob. 6.36PCh. 6 - Prob. 6.37PCh. 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 - By appropriate solution of Laplaces and Poissons...
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- 1. Inductance. Consider the configuration of a wire with 90° bends as shown below. A small loop, with its sides of length a and width d = a/16 is placed with its plane lying along xz principal plane as shown. Stating all assumptions, determine mutual inductance between the loop and the wire. a/2 9/2 2aarrow_forwardA coadal cable has a surface charge density of-10 Cim, at the outer conductor and 10 Cim at the inner conductor The inner radius is 2 m, outer Xradius is 6 m and length of this coaxial cable is 100 m. What is the E field inside the inner conductor in between two conductors and outside of the outer conductor (You can leave the expression in terms of permittivity)arrow_forwardA coaxial cable of consists of two concentric cylindrical conductors. The region between the conductors is completely filled with polyethylene plastic. The radius of the inner conductor is 0.50 cm, the radius of the outer conductor is 1.75 cm, and the length of the cable is 15 cm. The resistivity of the plastic is 10130- m. Calculate the resistance of the plastic if the electric field is applied across the ends of the conductor. 45.2048 x 1012 ohms O The answer cannot be found on the other choices. O 13.2922 x 1012 ohms 1.6977 x 1015 ohmsarrow_forward
- 2. An infinitely long coaxial cable has an inner and an outer conductor of radii "a" and "b" respectively. If the space between the conductors is filled with two different dielectrics of dielectric costants E, and ɛz as shwon below, find the capacitance per unit length of this coaxial cable.arrow_forwardExample//A coaxial cable of length L with inner conductor of radius a and the outer of radius b. Find the capacitance of this cable.arrow_forwardA coaxial cable consists of an inner conductor with inner radius ri of 0.50 cm and an outer radius ro of 1.0 cm and length of 5 meters. The dielectric insulator that separates the two conductors has a resistivity of 2.00 x 10^(13) ohm-meter. What is the resistance of the cable?arrow_forward
- A coaxial cable has an inner conductor of radius 1mm. And an outer conductor with radius of 5mm and thickness of 1mm. The relative permitivity of the dielectric material is & = 2.1. There is a voltage of 5 Volts on the inner conductor. The outer conductor is grounded. The current density in the inner conductor is 10A/m². a) Plot the Electric field in the radial direction from the center of the inner conductor to the inner edge of the outer conductor. Make sure to indicate the value of the E field at 0, 1mm, and 5mm from the center of the coax line (including appropriate units). Er 0 Bo 1mm b) Plot the Magnetic Flux Density in the radial direction from the center of the inner conductor to the inner edge of the outer conductor. Make sure to indicate the value of the Magnetic Flux Density at 0, 1mm, and 5mm from the center of the coax line (including appropriate units). 0 5mm 1mm 5mmarrow_forwardDetermine the mutual inductance between a very long straightwire and a conducting circular loop of radius “b” m set up “d” mapart on the same plane as shown figure.Problem:arrow_forwardThe potential of the inner conductor of a coaxial cable is Vi=41 V and the outer conductor potential is Vo=90 V as illustrated in the figure. Inner conductor radius is a=9 mm and outer conductor radius is b=32.6 mm. The insulator between the two conductors is free space, i.e., ɛ=ɛ0. A In the formula, written in standard units, for the potential function in the insulator, the constant term is= V V Potential value at p=20.8 mm is= V Potential value at p=4.5mm is= Varrow_forward
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