Neglect the end surfaces of the cylinder and assume that the thickness is much smaller than the radius.
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:
What will be an ideal response?
Known quantities:
Figure P2.50. Diameter of the cylindrical substrate; length of the substrate; conductivity of the carbon.
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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