4.8 A very long, right circular, cylindrical shell of dielectric constant e/e, and inner and outer radii a and b, respectively, is placed in a previously uniform electric field E with its axis perpendicular to the field. The medium inside and outside the cylinder has a dielectric constant of unity. (b) (c) Determine the potential and electric field in the three regions, neglecting end effects. Sketch the lines of force for a typical case of b2a. Discuss the limiting forms of your solution appropriate for a solid dielectric cylinder in a uniform field, and a cylindrical cavity in a uniform dielectric.
4.8 A very long, right circular, cylindrical shell of dielectric constant e/e, and inner and outer radii a and b, respectively, is placed in a previously uniform electric field E with its axis perpendicular to the field. The medium inside and outside the cylinder has a dielectric constant of unity. (b) (c) Determine the potential and electric field in the three regions, neglecting end effects. Sketch the lines of force for a typical case of b2a. Discuss the limiting forms of your solution appropriate for a solid dielectric cylinder in a uniform field, and a cylindrical cavity in a uniform dielectric.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:4.8
A very long, right circular, cylindrical shell of dielectric constant e/e, and inner and
outer radii a and b, respectively, is placed in a previously uniform electric field E
with its axis perpendicular to the field. The medium inside and outside the cylinder
has a dielectric constant of unity.
(b)
(c)
Determine the potential and electric field in the three regions, neglecting end
effects.
Sketch the lines of force for a typical case of b2a.
Discuss the limiting forms of your solution appropriate for a solid dielectric
cylinder in a uniform field, and a cylindrical cavity in a uniform dielectric.
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