An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 5 amps. Overall Hint a. What is the number density of charge carriers (electrons) in the wire? Hint for (a) 1 m³ The number density of electrons in the wire is (Use "E" notation to enter your answer in scientific notation. For example, to enter 3.14 x 10¹², enter "3.14E12".) b. What is the magnitude of the drift velocity of the electrons? Hint for (b) The drift velocity of the electrons is vd m/s. c. What would be the drift velocity if the same gauge copper were used instead of aluminum? Hint for (c) For the same gauge copper wire, the drift velocity would be vd m/s. There is a disconnect between how small drift velocities are and how quickly electrical signals travel through wires (nearly at the speed of light). For the moment, treat the two as completely unrelated to each other.

An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 5 amps. Overall Hint a. What is the number density of charge carriers (electrons) in the wire? Hint for (a) 1 m³ The number density of electrons in the wire is (Use "E" notation to enter your answer in scientific notation. For example, to enter 3.14 x 10¹², enter "3.14E12".) b. What is the magnitude of the drift velocity of the electrons? Hint for (b) The drift velocity of the electrons is vd m/s. c. What would be the drift velocity if the same gauge copper were used instead of aluminum? Hint for (c) For the same gauge copper wire, the drift velocity would be vd m/s. There is a disconnect between how small drift velocities are and how quickly electrical signals travel through wires (nearly at the speed of light). For the moment, treat the two as completely unrelated to each other.

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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Concept explainers

Microscopic view of current

In physics, the term current is expressed as the rate of flow of electric charges across the area per unit time (I=q/t). It propagates along in the direction of the motion of positive charges. When the current is caused by the motion of electrons, the direction of the current is opposite to the flow.

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F2
An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 5 amps.
Overall Hint
a. What is the number density of charge carriers (electrons) in the wire?
# 3
3
Hint for (a)
1
The number density of electrons in the wire is
m³
(Use "E" notation to enter your answer in scientific notation. For example, to enter 3.14 × 10¹2,
enter "3.14E12".)
b. What is the magnitude of the drift velocity of the electrons?
Hint for (b)
The drift velocity of the electrons is vd =
c. What would be the drift velocity if the same gauge copper were used instead of aluminum?
Hint for (c)
For the same gauge copper wire, the drift velocity would be va
r
Question Help: Message instructor
Submit Question
There is a disconnect between how small drift velocities are and how quickly electrical signals travel
through wires (nearly at the speed of light). For the moment, treat the two as completely unrelated to
each other.
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