FUNDAMENTALS OF PHYSICS - EXTENDED
12th Edition
ISBN: 9781119773511
Author: Halliday
Publisher: WILEY
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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…
A wire with a radius of 2.22mm is made of a conducting material that has an atomic mass of 72.0 grams/mole and a mass density of 6.17x103 kg/m3. You can assume that each atom of the material has one free electron associated with it. What is the drift speed vd in a 19.3 cm long section of wire that is carrying 664 Amps?
Assume 3 significant digits and units of mm/s.
A metal wire of cross-sectional area 2.00x10-6 m² and length 4.0 m has a current
of 25.0 A uniformly distributed across that area.
If the conductivity of the metal is, 5.9x107 (.m)-!, calculate the magnitude of
the electric field, in V/m, along the wire?
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