Pure aluminum is malleable, which means that it can be pounded or stretched into different shapes. You are given a small aluminum cube, with side length 5.0 mm. The goal is to shape this cube so that 2.0 A current flows through it when connecting the two ends to the terminals of 12 V battery. a) To what cross-sectional area A and length L should you stretch the cube, and how should the battery be connected, so that only 2.0 A of current flows through? Draw a diagram and show your work. For the rest of the problem, assume that you keep this new shape for the aluminum with the connected power supply. b) What is the current density through the aluminum? c) What is the drift speed of the conduction electrons?
Pure aluminum is malleable, which means that it can be pounded or stretched into different shapes. You are given a small aluminum cube, with side length 5.0 mm. The goal is to shape this cube so that 2.0 A current flows through it when connecting the two ends to the terminals of 12 V battery. a) To what cross-sectional area A and length L should you stretch the cube, and how should the battery be connected, so that only 2.0 A of current flows through? Draw a diagram and show your work. For the rest of the problem, assume that you keep this new shape for the aluminum with the connected power supply. b) What is the current density through the aluminum? c) What is the drift speed of the conduction electrons?
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)...
Related questions
Question
Transcribed Image Text:Use the tables below as needed to solve this problem.
TABLE 30.1 Conduction-electron TABLE 30.2 Resistivity and conductivity of conducting
density in metals
materials
Resistivity
(N m)
Conductivity
(N-'m-')
Electron
Metal
density (m-) Material
6.0 x 1028
2.8 x 10
Aluminum
Aluminum
3.5 x 107
8.5 x 10
1.7 X 10
2.4 x 10"
9.7 x 10"
1.6 x 10
5.6 X 10*
1.5 x 10
3.5 x 10
Copper
Соpper
6.0 × 107
Iron
8.5 x 1028
Gold
4.1 x 107
Gold
5.9 × 1028
Iron
1.0 x 10
Silver
5.8 x 1028
Silver
6.2 x 107
1.8 x 10
e en
Tungsten
Nichrome*
6.7 x 10
Carbon
2.9 x 10
*Nickel-chromium alloy used for heating wires.
Pure aluminum is malleable, which means that it can be pounded or stretched into
different shapes. You are given a small aluminum cube, with side length 5.0 mm.
The goal is to shape this cube so that 2.0 A current flows through it when connecting
the two ends to the terminals of 12 V battery.
a) To what cross-sectional area A and length L should you stretch the cube, and how
should the battery be connected, so that only 2.0 A of current flows through? Draw
a diagram and show your work.
For the rest of the problem, assume that you keep this new shape for the aluminum
with the connected power supply.
b) What is the current density through the aluminum?
c) What is the drift speed of the conduction electrons?
d) How long does it take the conduction electrons to travel from one end of the
aluminum to the other?
e) On your diagram of the conductor with the connected battery, show the direction
of the current, current density, electric field, and drift velocity in the aluminum.
Expert Solution
Step 1
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
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…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON