Engineering Electromagnetics
Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 1, Problem 1.22P
To determine

(a)

To derive expression for velocity field that gives tangential velocity at any point of the sphere surface.

To determine

(b)

To derive expression for the difference in velocities between two point that have different latitude.

To determine

(c)

To determine the difference in velocities between two points having latitude of one degree on either side of 45 degree.

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Q1. In free space, there are 2 concentric spherical surfaces with radii a and b. There is a constant volume charge density between 2 surfaces such that:a) Find the electric potential everywhere using Poisson’s equation. b) Find the electric field vector everywhere using Poisson’s equation.
A hollow sphere, with inner radius a and outer radius b, has a volumetric charge distribution p = kr^2, where r is the distance from the center of the sphere outwards and k is a known constant. Using Gauss's law, find the electric field at r < a, a < r < b, and r > b, and graph the electric field as a function of r.
A ring and a disk both are centered at (7, 6, 5) and are both lying on the plane y = 6. The ring has a radius of 7 m, while the disk has a radius of 9 m, so that the ring is around the disk. Determine the magnitude of the electric field in kV/m at point (7, -7, 5) if the ring has a total charge of -5 mC and the disk has a total charge of 7 mC. All coordinates are measured in meters.
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