Engineering Electromagnetics
Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 6, Problem 6.42P
To determine

The resistance between the two perfect conductors.

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A non-conducting, uniformly charged disc of surface charge density σ, radius Rand negligible thickness is rotating about its axis with an angular velocity ω. Consider a thin circular loop of radius dr at a distance r from the disk center as shown on the picture. Show that the charge on the thin loop is given bydq=2πσrdr.
Two lengths of conductors are made from, i) a single solid copper wire of radius 5 mm, and, ii) a bundle of 25 solid copper wires each of radius 1 mm. For each conductor, estimate the resistance per unit length at a frequency of 1 MHz. You may assume a conductivity of σ = 6.7 × 107 Ω −1m−1 and that the skin depth, δ, is given by δ = r 2 µ0σω .
A conducting cylinder with a radius of 1 cm and at a potential of 20 V is parallel toa conducting plane which is at zero potential. The plane is 5 cm distant from thecylinder axis. If the conductors are embedded in a perfect dielectric for which ?* =4.5, find:(a) the capacitance per unit length between cylinder and plane;(b) ?# R4S on the cylinder.

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Engineering Electromagnetics

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