For storage of information, the cylinder shown in Fig. P9.3.4 has the magnetization density where…

For storage of information, the cylinder shown in Fig. P9.3.4 has the magnetization density

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where p is a given integer. The surrounding region is free space.

(a) Determine the magnetic potential 3ae13b66 9ef7 48b2 a08e 59430ba41f7c.

(b) A magnetic pickup is comprised of an N-turn coil located at φ 87147088 344d 4d49 a66c 8794f1434d7f This coil has a dimension a in the φ direction that is small compared to the periodicity length 5472ca7c 4ff9 404e a8e1 acf940abf671 in that direction. Every turn is essentially at the radius 4131a7cc 98a8 427d acb3 ea1c14fcf27a. Determine the output voltage vout when the cylinder rotates, aa430ccd b75d 4907 b20b 46641bcf9d91 

(c) Show that if the density of information on the cylinder is to be high (p is to be high), then the spacing between the coil and the cylinder, d, must be small.

Fig. P9.3.4

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