A Short Cylinder Of Radius A And Length L Carries

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 m a. [This device 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.]

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