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?
Chapter9: Current And Resistance
Section: Chapter Questions
Problem 9.5CYU: Check Your Understanding Copper wires use routinely used for extension cords and house wiring for...
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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.
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