Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 28, Problem 69PQ
To determine
The expression for drift velocity.
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In the classic model for electrical conduction, electron mobility u in a metal wire is defined as
where v, is the drift velocity of the electrons and E is the electric field in the metal. This parameter is a measure of how freely
electrons can travel through a metal when an electric field is applied, such as when the ends of a metal wire are connected to a
potential difference.
(a) Show that
where a is the conductivity of the metal, n is the number density of the charge carriers, and q is the charge on each carrier.
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(b) B = AVH is often written as
AVH - R
IB
where R, is the Hall coefficient of the metal. Show that the following is true. (Submit a file with a maximum size of 1 MB.)
Hyo -n
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(c) The table below shows some measured values of Hall coefficients for some elemental materials. What is an average number…
Q*: Calculate the drift velocity and mean free path of copper when it carries a
steady current of 10 amperes and whose radius is 0.08 cm. Assume that
the mean thermal velocity 1.6 x 10° m/s and the resistivity of copper 2 x
10 m
Earth’s lower atmosphere contains negative and positive ions that are produced by radioactive elements in the soil and cosmic rays from space. In a certain region, the atmospheric electric field strength is 120 V/m and the field is directed vertically down.This field causes singly charged positive ions, at a density of 620 cm3, to drift downward and singly charged negative ions, at a density of 550 cm3, to drift upward. The measured conductivity of the air in that region is 2.70 * 10-14 (ohmm)-1. Calculate (a) the magnitude of the current density and (b) the ion drift speed, assumed to be the same for positive and negative ions.
Chapter 28 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 28.1 - Prob. 28.1CECh. 28.2 - Prob. 28.2CECh. 28.3 - Prob. 28.3CECh. 28.5 - When a lightbulb burns out, its filament breaks so...Ch. 28.6 - A battery with terminal potential is connected to...Ch. 28.7 - A battery of terminal potential is connected to a...Ch. 28 - Prob. 1PQCh. 28 - Prob. 2PQCh. 28 - Prob. 3PQCh. 28 - Prob. 4PQ
Ch. 28 - Prob. 5PQCh. 28 - Prob. 6PQCh. 28 - Prob. 7PQCh. 28 - Prob. 8PQCh. 28 - Prob. 9PQCh. 28 - Prob. 10PQCh. 28 - Prob. 11PQCh. 28 - Prob. 12PQCh. 28 - Prob. 13PQCh. 28 - Prob. 14PQCh. 28 - The current in a wire varies with time (measured...Ch. 28 - Prob. 16PQCh. 28 - The amount of charge that flows through a copper...Ch. 28 - Prob. 18PQCh. 28 - Prob. 19PQCh. 28 - Prob. 20PQCh. 28 - Prob. 21PQCh. 28 - Prob. 22PQCh. 28 - A copper wire that is 2.00 mm in radius with...Ch. 28 - Prob. 24PQCh. 28 - Prob. 25PQCh. 28 - Prob. 26PQCh. 28 - What is the electric field in an aluminum wire if...Ch. 28 - Prob. 28PQCh. 28 - Prob. 29PQCh. 28 - Prob. 30PQCh. 28 - Prob. 31PQCh. 28 - Prob. 32PQCh. 28 - Two concentric, metal spherical shells of radii a...Ch. 28 - Prob. 34PQCh. 28 - Prob. 35PQCh. 28 - Prob. 36PQCh. 28 - Prob. 37PQCh. 28 - A lightbulb is connected to a variable power...Ch. 28 - Prob. 39PQCh. 28 - Prob. 40PQCh. 28 - Prob. 41PQCh. 28 - Prob. 42PQCh. 28 - Prob. 43PQCh. 28 - A Two wires with different resistivities, 1 and 2,...Ch. 28 - A copper and a gold wire are supposed to have the...Ch. 28 - Gold bricks are formed with the dimensions 7358134...Ch. 28 - Prob. 47PQCh. 28 - Prob. 48PQCh. 28 - Prob. 49PQCh. 28 - Prob. 50PQCh. 28 - Prob. 51PQCh. 28 - Prob. 52PQCh. 28 - Prob. 53PQCh. 28 - Prob. 54PQCh. 28 - A two-slice bread toaster consumes 850.0 W of...Ch. 28 - Prob. 56PQCh. 28 - Prob. 57PQCh. 28 - Prob. 58PQCh. 28 - Prob. 59PQCh. 28 - Prob. 60PQCh. 28 - Prob. 61PQCh. 28 - Prob. 62PQCh. 28 - Prob. 63PQCh. 28 - Prob. 64PQCh. 28 - Prob. 65PQCh. 28 - Prob. 66PQCh. 28 - Prob. 67PQCh. 28 - Prob. 68PQCh. 28 - Prob. 69PQCh. 28 - Prob. 70PQCh. 28 - Prob. 71PQCh. 28 - Prob. 72PQCh. 28 - Prob. 73PQCh. 28 - Prob. 74PQCh. 28 - Review When a metal rod is heated, its resistance...Ch. 28 - Prob. 76PQCh. 28 - Prob. 77PQCh. 28 - Prob. 78PQCh. 28 - Prob. 79PQCh. 28 - Prob. 80PQCh. 28 - Prob. 81PQCh. 28 - A conducting material with resistivity is shaped...
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- A student woants to identify the Resistivity of a conducting wire of unknown material. Resistivity is a property of a material that quantifies how strongly it conducts electric current, and it is formulated as, of p= R4 where R is the Resistance (ohms), A cross-sectional area (meters-squared) and I is the length (meters) of the wire. The student runs an experiment on a cylindrical wire of a length l of 2 centimeters and the cross- sectional area A of the wire is 6.1 centimeters-squared. The measurements of the Current is as below Dataset Voltage (Applied, Volts) Current (Measured, Amperes)arrow_forwardA conducting spherical electrode of radius a is suspended with its center at a height h above the bottom of a large metal tank filled with a conducting medium having a conductivity s. Derive a formula for the resistance between the electrode and the metal tank. The tank is large enough to be considered as infinite. The electrode and the tank may be assumed to be made of perfect conductors.arrow_forwardSilver has density 10.5 x 103kg/m3 and resistivity of 1.6 x 10-8 ohm.m at room temperature. a)what is the mean time between collision? b)what is the mean free path the electron thermal velocity?arrow_forward
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