An uncharged conducting sphere of radius a is coated with a thick insulating shell (dielectric constant ϵr ) out to radius b. This object is now placed in an otherwise uniform electric field E0. Find the electric field in the insulator.
Step 1 of 5</p>
We have to find the electric field in the insulating shell which is placed in an uniform electric field .
The electric field ) in the insulator is given by,
where, is the potential in the
medium of insulating shell
Now, can be found by writing down the potential in the regions and and applying the boundary conditions.
The potential outside, inside and in the medium of an insulating shell are and respectively.
Step 2 of 5</p>
The boundary conditions are,
Applying boundary conditions to find the constants and .
Now, condition (i) implies that
Condition (ii) implies
Condition (iii) implies
Step 3 of 5</p>
From boundary condition (i):
From boundary condition (ii):
Textbook: Introduction to Electrodynamics
Author: David J. Griffiths
Introduction to Electrodynamics was written by and is associated to the ISBN: 9780321856562. The full step-by-step solution to problem: 24P from chapter: 4 was answered by , our top Physics solution expert on 07/18/17, 05:41AM. This textbook survival guide was created for the textbook: Introduction to Electrodynamics , edition: 4. This full solution covers the following key subjects: electric, radius, Field, Now, coated. This expansive textbook survival guide covers 12 chapters, and 550 solutions. Since the solution to 24P from 4 chapter was answered, more than 664 students have viewed the full step-by-step answer. The answer to “An uncharged conducting sphere of radius a is coated with a thick insulating shell (dielectric constant ?r ) out to radius b. This object is now placed in an otherwise uniform electric field E0. Find the electric field in the insulator.” is broken down into a number of easy to follow steps, and 41 words.