24. (III) A hollow cylindrical resistor with inner radius r1 and outer radius r2, and length l, is made of a material whose resistivity is p (Fig. 25-32). (a) Show that the resistance is given by
R=(p/(2pil)) ln (r2/r1)
for current that flows radially outward. [Hint: Divide the resistor into concentric cylindrical shells and integrate.] (b) Evaluate the resistance R for such a resistor made of carbon whose inner and outer radii are 1.0mm and 1.8mm and whose length is 3.0cm. (c) What is the resistance in part (b) for current flowing parallel to the axis?
2006-09-20
00:10:20
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1 answers
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Anonymous
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Science & Mathematics
➔ Physics