Cheap resistors are fabricated by depositing a thin layer of carbon onto a non-conducting cylindrical substrate (see Figure P2.44). If such a cylinder has radius a and length d, determine the thickness of the film required for a resistance R if:







Neglect the end surfaces of the cylinder and assume that the thickness is much smaller than the radius.

Find:

The thickness of the carbon film required for a resistance R of 33?.

Assumptions:

Assume the thickness of the film to be much smaller than the radius

Neglect the end surface of the cylinder.




Analysis:

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