Engineering Electromagnetics
Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 3, Problem 3.5P

A volume charge distribution in free space is characterized by the density
p v = q 2 A d exp ( | z | / d )


where d is a distance along z, A is the area of a surface parallel to the xy plane, and q is a fixed charge quantity. The charge distribution exists everywhere (a) Find the electric field intensity. E. everywhere (b) What is the interpretation of q?

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A solid conducting sphere of radius R carries a charge +Q. A thick conducting shell is concentric with the sphere and has an inner radius R2 and outer radius R3. The shell carries a charge -Q. The figure shows a cross section. a) Where are the charges located? Add charge symbols to the figure. R1 R3 R2 b) Add a few electric field lines and equipotential lines to the figure. Please label the lines clearly. c) Draw a sketch of the potential as a function of distance from the center of the sphere. Please label all interesting points on the graph.
A volume charge density is known to be Delta(n, deg, z) in cylindrical coordinates. What is the appropriate expression to evaluate the total charge (for an arbitrary geometry)
Two 1.20 m non-conductive wires form a right angle. A segment has +2.50 µC of charge, distributed evenly along its length; while the other segment has -2.50 µC of charge, distributed uniformly along its length, as illustrated in the figure. Find the magnitude and direction of the electric field produced by these wires at point P, which is 60.0 cm from each wire.

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Engineering Electromagnetics

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