Homework Help is Here – Start Your Trial Now!
Science
Physics
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
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)...
See similar textbooks
icon
Related questions
Question
**Educational Content on Temperature-Stable Resistors** To design a temperature-stable resistor, you can connect a silicon resistor in series with one made of iron. When the total resistance required is 1000 Ω across a broad temperature range around 20°C, you need to determine the resistance of the individual silicon and iron resistors. Below is a table detailing the resistivities and temperature coefficients of various materials, which can assist in making these calculations. --- **Resistivities of Some Materials at Room Temperature (20°C)** | Material | Resistivity, ρ (Ω·m) | Temperature Coefficient of Resistivity, α (K⁻¹) | |-----------------|----------------------|---------------------------------------------| | **Typical Metals** | | | | Silver | \(1.62 \times 10^{-8}\) | \(4.1 \times 10^{-3}\) | | Copper | \(1.69 \times 10^{-8}\) | \(4.3 \times 10^{-3}\) | | Gold | \(2.35 \times 10^{-8}\) | \(4.0 \times 10^{-3}\) | | Aluminum | \(2.75 \times 10^{-8}\) | \(4.4 \times 10^{-3}\) | | Manganin (a) | \(4.82 \times 10^{-8}\) | \(0.002 \times 10^{-3}\) | | Tungsten | \(5.25 \times 10^{-8}\) | \(4.5 \times 10^{-3}\) | | Iron | \(9.68 \times 10^{-8}\) | \(6.5 \times 10^{-3}\) | | Platinum | \(10.6 \times 10^{-8}\) | \(3.9 \times 10^{-3}\) | | **Typical Semiconductors** | | | | Silicon, pure | \(2.5 \times 10^3\) | \(-70 \times 10^{-3}\) | | Silicon, n-type (b) | \(8.7 \times 10^{-4}\) | | | Silicon, p-type (c) | \(2.
Transcribed Image Text:**Educational Content on Temperature-Stable Resistors** To design a temperature-stable resistor, you can connect a silicon resistor in series with one made of iron. When the total resistance required is 1000 Ω across a broad temperature range around 20°C, you need to determine the resistance of the individual silicon and iron resistors. Below is a table detailing the resistivities and temperature coefficients of various materials, which can assist in making these calculations. --- **Resistivities of Some Materials at Room Temperature (20°C)** | Material | Resistivity, ρ (Ω·m) | Temperature Coefficient of Resistivity, α (K⁻¹) | |-----------------|----------------------|---------------------------------------------| | **Typical Metals** | | | | Silver | \(1.62 \times 10^{-8}\) | \(4.1 \times 10^{-3}\) | | Copper | \(1.69 \times 10^{-8}\) | \(4.3 \times 10^{-3}\) | | Gold | \(2.35 \times 10^{-8}\) | \(4.0 \times 10^{-3}\) | | Aluminum | \(2.75 \times 10^{-8}\) | \(4.4 \times 10^{-3}\) | | Manganin (a) | \(4.82 \times 10^{-8}\) | \(0.002 \times 10^{-3}\) | | Tungsten | \(5.25 \times 10^{-8}\) | \(4.5 \times 10^{-3}\) | | Iron | \(9.68 \times 10^{-8}\) | \(6.5 \times 10^{-3}\) | | Platinum | \(10.6 \times 10^{-8}\) | \(3.9 \times 10^{-3}\) | | **Typical Semiconductors** | | | | Silicon, pure | \(2.5 \times 10^3\) | \(-70 \times 10^{-3}\) | | Silicon, n-type (b) | \(8.7 \times 10^{-4}\) | | | Silicon, p-type (c) | \(2.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 21 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Semiconductors
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS