Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Question
Chapter 8, Problem 8.40P
To determine
The inductance per unit length.
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A.Derive the formula for the internal inductance in H/m of a hollow conductor having inside radius r1 and outside radius r2 and also determine the expression for the inductance in H/m of a single-phase line consisting of the hollow conductors described above with conductors spaced a distance D apart.
If the ratio of the inner conductor circumference to the outer conductor circumference of a coaxial cable is 0.4993, what is the capacitance per unit length of the air-insulated coaxial line, in pF/m?
Given a coaxial capacitor with the length of L which has two coaxial conductors with radius a=1 cm and b= 4 cm for inner and outer conductor, respectively. The inner conductor carries the total charge of –Q C whilst the outer carries +Q C. If the length of the coaxial, L = 100m and the coaxial is filled with the lossy Teflon (εr = 2.2 and σ = 4 Sm-1), determine:
i. Potential Different between r = 3cm and r = 6cm
ii. Energy in region a<r<b
Note: In dielectric material, permittivity ε=εoεr and D=εE
Chapter 8 Solutions
Engineering Electromagnetics
Ch. 8 - A point charge, Q = - 0.3 /C and m = 3 Ă— -10-16...Ch. 8 - Prob. 8.2PCh. 8 - Prob. 8.3PCh. 8 - Show that a charged particle in a uniform magnetic...Ch. 8 - Prob. 8.5PCh. 8 - Show that the differential work in moving a...Ch. 8 - A conducting strip of infinite length lies in the...Ch. 8 - Two conducting strips, having infinite length in...Ch. 8 - A current of-100az A/m flows on the conducting...Ch. 8 - A planar transmission line consists of two...
Ch. 8 - Prob. 8.11PCh. 8 - Two circular wire rings are parallel to each...Ch. 8 - An infinitely long current filament is oriented...Ch. 8 - A solenoid is 25 era long, 3 cm in diameter, and...Ch. 8 - Prob. 8.15PCh. 8 - Prob. 8.16PCh. 8 - Prob. 8.17PCh. 8 - Prob. 8.18PCh. 8 - Given a material for which ℵK = 3.1 and within...Ch. 8 - Find H in a material where (a) fir = 4.2, there...Ch. 8 - Prob. 8.21PCh. 8 - Prob. 8.22PCh. 8 - Calculate values for HO,B0, and M0 at p = c for a...Ch. 8 - Two current sheets, K0,ay, A/m at z = 0 and -K0,ay...Ch. 8 - Prob. 8.25PCh. 8 - Prob. 8.26PCh. 8 - Let đ�œ‡rj = 2 in region 1, defined by 2x + 3y —...Ch. 8 - For values of B below the knee on the...Ch. 8 - Prob. 8.29PCh. 8 - Prob. 8.30PCh. 8 - A toroid is constructed of a magnetic material...Ch. 8 - Prob. 8.32PCh. 8 - Prob. 8.33PCh. 8 - Determine the energy stored per unit length in the...Ch. 8 - Prob. 8.35PCh. 8 - Prob. 8.36PCh. 8 - A Toroid has known, reluctance R. Two windings...Ch. 8 - Prob. 8.38PCh. 8 - Conducting planes in air at Z = 0 and z = d carry...Ch. 8 - Prob. 8.40PCh. 8 - Prob. 8.41PCh. 8 - Find the mutual inductance between two filaments...Ch. 8 - Prob. 8.43PCh. 8 - Prob. 8.44PCh. 8 - Beginning with the definition, of the scalar...
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Similar questions
- It is viewed from the cross-section of a coaxial cable consisting of a cylindrical conductive tube with an internal radius R and an outer radius of Rz wrapped around a cylindrical conductive wire with a RADIUS of R. r to indicate the radial distance from the center, the inner cylindrical conductor,if it is j1 = Gr and the outer conductive tube, j2 = Car has improper current densities. Here, the two conductors carry the same I flow in zit directions. What is the size of the B2 magnetic fields at r=1 cm and B2 at r= 8 cm?(R=4 cm; R=7 cm, R3=9 cm; Io=2 A; uo=47.10-7 T.m/A and our aquani-positive forehead outward from the page plane).arrow_forwardDerive the formula for the internal inductance in H/m of a hollow conductor having inside radius r1 and outside radius r2 and also determine the expression for the inductance in H/m of a single-phase line consisting of the hollow conductors described above with conductors spaced a distance D apart.arrow_forwardThe region between the conductors of a coaxial cable with inner conductor radius a=2m and outer conductor radius b=3m is filled with a material with dielectric constant E. If the charge per unit length of the inner conductor is q, which of the following is the capacitance of the unit length of the coaxial cable.arrow_forward
- The magnetic field intensities inside and outside of a long and smooth conductor with a cross section radius are as follows. Accordingly, find the current densities J inside and outside the conductor. (Hint: Use cylindrical coordinates)arrow_forward3. As shown in the figure, a current of 3D204 flows through a long U-shaped (hairpin)-shaped conductor made by bending the conductor in a semicircle with a radius of R = 100mm. Point 6 is the middle of the straight part, very far in a semicircle, and the straight part can be approximated as an infinity line. Find the (a) magnitude and (b) direction of B at point a, respectively, and (c) magnitude and (d) | Find each direction.arrow_forwardThe inner conductor in a coaxial cable has a diameter of 2.5 mm while the outer conductor has an inner diameter of 15 mm. If a dielectric with relative permittivity of 3 separates the two, determine the capacitance of a 5 meter length of this coaxial cable?arrow_forward
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