A temperature-stable resistor is made by connecting a resistor made of silicon in series with one made of iron. If the required totalresistance is 1000 2 in a wide temperature range around 20°C, what should be the resistance of the (a) silicon resistor and (b) ironresistor? (See the table below.)(a) Number i(b) Number iResistivities of Some Materials at Room Temperature (20°C)Resistivity, p(n.m)MaterialSilverCopperGoldAluminumManganinTungstenIronPlatinumSilicon, pureSilicon, n-typeSilicon,p-typeGlassFused quartz1.69 × 10-82.35 x 10-82.75 X 10-84.82 x 10-85.25 x 10-89.68 x 10-810.6 x 10-8Typical Semiconductors2.5 × 10³8.7 x 10-42.8 x 10-3Typical InsulatorsTypical Metals1.62 x 10-8UnitsUnits10¹01014-10¹6Temperature Coefficientof Resistivity, a (K-¹)4.1 X 10-34.3 × 10-34.0 × 10-³4.4 x 10-30.002 x 10-³4.5 x 10-36.5 x 10-33.9 × 10-3"An alloy specifically designed to have a small value of a."Pure silicon doped with phosphorus impurities to a charge carrier density of 10²3 m³.'Pure silicon doped with aluminum impurities to a charge carrier density of 102³ m-³.-70 x 10-3

The temperature coefficients of resistivity (resistance) of silicon and iron are given by:

A temperature-stable resistor is made by connecting a resistor made of silicon in series with one made of iron. If the required total resistance is 1000 2 in a wide temperature range around 20°C, what should be the resistance of the (a) silicon resistor and (b) iron resistor? (See the table below.) (a) Number i (b) Number i Resistivities of Some Materials at Room Temperature (20°C) Resistivity, p (n.m) Material Silver Copper Gold Aluminum Manganin Tungsten Iron Platinum Silicon, pure Silicon, n-type Silicon,p-type Glass Fused quartz Typical Metals 1.62 x 10-8 Typical Semiconductors 2.5 × 10³ 8.7 x 10-4 2.8 x 10-3 Typical Insulators Units 1.69 X 10-8 2.35 x 10-8 2.75 x 10-8 4.82 x 10-8 5.25 x 10-8 9.68 × 10-8 10.6 × 10-8 Units 10101014 -1016 Temperature Coefficient of Resistivity, a (K-¹) 4.1 X 10-3 4.3 X 10-3 4.0 × 10-3 4.4 x 10-3 0.002 x 10-3 4.5 x 10-3 6.5 x 10-3 3.9 × 10-3 "An alloy specifically designed to have a small value of a. "Pure silicon doped with phosphorus impurities to a charge carrier density of 1023 m³. *Pure silicon doped with aluminum impurities to a charge carrier density of 1023 m~³. -70 × 10-³

A temperature-stable resistor is made by connecting a resistor made of silicon in series with one made of iron. If the required total resistance is 1000 2 in a wide temperature range around 20°C, what should be the resistance of the (a) silicon resistor and (b) iron resistor? (See the table below.) (a) Number i (b) Number i Resistivities of Some Materials at Room Temperature (20°C) Resistivity, p (n.m) Material Silver Copper Gold Aluminum Manganin Tungsten Iron Platinum Silicon, pure Silicon, n-type Silicon,p-type Glass Fused quartz Typical Metals 1.62 x 10-8 Typical Semiconductors 2.5 × 10³ 8.7 x 10-4 2.8 x 10-3 Typical Insulators Units 1.69 X 10-8 2.35 x 10-8 2.75 x 10-8 4.82 x 10-8 5.25 x 10-8 9.68 × 10-8 10.6 × 10-8 Units 10101014 -1016 Temperature Coefficient of Resistivity, a (K-¹) 4.1 X 10-3 4.3 X 10-3 4.0 × 10-3 4.4 x 10-3 0.002 x 10-3 4.5 x 10-3 6.5 x 10-3 3.9 × 10-3 "An alloy specifically designed to have a small value of a. "Pure silicon doped with phosphorus impurities to a charge carrier density of 1023 m³. *Pure silicon doped with aluminum impurities to a charge carrier density of 1023 m~³. -70 × 10-³

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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