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

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

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(a) Determine the magnetic potential .

(b) A magnetic pickup is comprised of an N-turn coil located at φ This coil has a dimension a in the φ direction that is small compared to the periodicity length in that direction. Every turn is essentially at the radius . Determine the output voltage vout when the cylinder rotates,

(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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