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The most common material used for sandpaper, silicon carbide, is also widely use

ID: 2240539 • Letter: T

Question


The most common material used for sandpaper, silicon carbide, is also widely used in electrical applications. One common device is a tubular resistor made of a special grade of silicon carbide called carborundum. A particular carborundum resistor (see the figure) consists of a thick-walled cylindrical shell (a pipe) of inner radius a = 1.93 cm, outer radius b = 2.93 cm, and length L = 68.7 cm. The resistance of this carborundum resistor at 20

The most common material used for sandpaper, silicon carbide, is also widely used in electrical applications. One common device is a tubular resistor made of a special grade of silicon carbide called carborundum. A particular carborundum resistor (see the figure) consists of a thick-walled cylindrical shell (a pipe) of inner radius a = 1.93 cm, outer radius b = 2.93 cm, and length L = 68.7 cm. The resistance of this carborundum resistor at 20 degree C is 1.059 ?. Calculate the resistivity of carborundum at room temperature.

Explanation / Answer


A)Resistivity rho=R*A/L...

here A=pi*(b^2-a^2).....

A=0.00152 m^2...

rho=1.059*0.00152/0.687=2.353*10^-3 ohm-m........=0.002353 ohm-m

B) Rt=R20[1+?(t2-t1)]......

Rt=1.059[1+0.00214(320)]=1.784 ohms



percentage change in resistance =(change in resistance/original resistance)*100=[(1.784-1.059)/1.059]*100=68.46 %

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