An aluminum resistance thermometer consists of a coil of 5.8273 mm diameter wire in a coil. Determine the length of wire needed so that the coil's resistance at 20C is 330 Q. Table 16.8 The resistivity p of different materials. Material Resistivity (2• m, at 20 °C) Metals 1.6 X 10-8 1.7 X 108 2.8 x 108 5.2 x 108 50 x 108 Silver Copper Aluminum Tungsten Constantan Dielectrics Ordinary glass Hard rubber 9 x 101 1 X 1016 1 X 1014 104 1016 Shellac Dry wood Human tissue Blood 1.5 Lung tissue Fat Trunk 20 25 Skin 5000-50,000 Geological materials Igneous rocks Sedimentary rocks Ground water 10-107 1-105 10

An aluminum resistance thermometer consists of a coil of 5.8273 mm diameter wire in a coil. Determine the length of wire needed so that the coil's resistance at 20C is 330 Q. Table 16.8 The resistivity p of different materials. Material Resistivity (2• m, at 20 °C) Metals 1.6 X 10-8 1.7 X 108 2.8 x 108 5.2 x 108 50 x 108 Silver Copper Aluminum Tungsten Constantan Dielectrics Ordinary glass Hard rubber 9 x 101 1 X 1016 1 X 1014 104 1016 Shellac Dry wood Human tissue Blood 1.5 Lung tissue Fat Trunk 20 25 Skin 5000-50,000 Geological materials Igneous rocks Sedimentary rocks Ground water 10-107 1-105 10

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter10: Direct-current Circuits

Section: Chapter Questions

Problem 25P: A 12.0-V emf automobile battery has a terminal voltage of 16.0 V when being charged by a current of...

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When a straight wire is heated, its resistance changes according to the equation R = R0 [1 + (T T0)] (Eq. 17.7), where is the temperature coefficient of resistivity. (a) Show that a more precise result, which includes the length and area of a wire change when it is heated, is R=R0[1+(TT0)][1+(TT0)][1+2(TT0)] where is the coefficient of linear expansion. (See Topic 10.) (b) Compare the two results for a 2.00-m-long copper wire of radius 0.100 mm, starting at 20.0C and heated to 100.0C.
Review. When a straight wire is warmed, its resistance is given by R = R0,[1 + a(T T0)] according to Equation 27.20, where a is the temperature coefficient of resistivity. This expression needs to be modified if we include the change in dimensions of the wire due to thermal expansion. For a copper wire of radius 0.100 0 mm and length 2.000 m, find its resistance at 100.0C, including the effects of both thermal expansion and temperature variation of resistivity. Assume the coefficients are known to four significant figures.
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