Solution Found!
A short cylinder, of radius a and length L, carries a
Chapter 4, Problem 11P(choose chapter or problem)
Problem 11P
A short cylinder, of radius a and length L, carries a “frozen-in” uniform polarization P, parallel to its axis. Find the bound charge, and sketch the electric field (i) for L ≫ a, (ii) for L ≫ a, and (iii) for L ≈ a. [This is known as a bar electret; it is the electrical analog to a bar magnet. In practice, only very special materials—barium titanate is the most “familiar” example—will hold a permanent electric polarization. That’s why you can’t buy electrets at the toy store.]
Questions & Answers
QUESTION:
Problem 11P
A short cylinder, of radius a and length L, carries a “frozen-in” uniform polarization P, parallel to its axis. Find the bound charge, and sketch the electric field (i) for L ≫ a, (ii) for L ≫ a, and (iii) for L ≈ a. [This is known as a bar electret; it is the electrical analog to a bar magnet. In practice, only very special materials—barium titanate is the most “familiar” example—will hold a permanent electric polarization. That’s why you can’t buy electrets at the toy store.]
ANSWER:
Solution 11P
Step 1 of 4
To find the bound charges and
for a sphere of radius ‘a’ and length ‘L’ carrying “frozen-in” uniform polarization ‘P’ for a short cylinder, which is parallel to its axis.