Solution Found!
A very long cylinder of linear dielectric material is
Chapter 4, Problem 22P(choose chapter or problem)
Problem 22P
A very long cylinder of linear dielectric material is placed in an otherwise uniform electric field E0. Find the resulting field within the cylinder. (The radius is a, the susceptibility χe, and the axis is perpendicular to E0.)
Questions & Answers
QUESTION:
Problem 22P
A very long cylinder of linear dielectric material is placed in an otherwise uniform electric field E0. Find the resulting field within the cylinder. (The radius is a, the susceptibility χe, and the axis is perpendicular to E0.)
ANSWER:
Step 1 of 2
We have to find the resulting field within the cylinder due to an uniform electric field .
The resulting field within the cylinder can be found by solving Laplace’s equation for () and (under the boundary conditions.
Boundary condition (iii) implies that
Now condition (i) says,
whereas condition (ii) says,