In a Hall-effect experiment, a current of 3.0 A sent lengthwise through a conductor 1.0 cm wide, 4.0 cm long, and 10 mm thick produces a transverse (across the width) Hall potential difference of 10 mV when a magnetic field of 1.5 T is passed perpendicularly through the thickness of the conductor. From these data, find (a) the drift velocity of the charge carriers and (b) the number density of charge carriers. (c) Show on a diagram the polarity of the Hall potential difference with assumed current and magnetic field directions, assuming also that the charge carriers are electrons.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter11: Magnetic Forces And Fields
Section: Chapter Questions
Problem 94AP: The Hall effect is to be used to find the density of charge carriers in an unknown material. A Hall...
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In a Hall-effect experiment, a current of 3.0 A sent lengthwise
through a conductor 1.0 cm wide, 4.0 cm long, and 10 mm
thick produces a transverse (across the width) Hall potential difference
of 10 mV when a magnetic field of 1.5 T is passed perpendicularly
through the thickness of the conductor. From these
data, find (a) the drift velocity of the charge carriers and (b) the
number density of charge carriers. (c) Show on a diagram the polarity
of the Hall potential difference with assumed current and
magnetic field directions, assuming also that the charge carriers
are electrons.

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