University Physics Volume 3
University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Chapter 9, Problem 73P

The Hall effect is demonstrated in the laboratory. A thin rectangular strip of semiconductor with width 5 cm and cross-sectional area 2 mm" is attached to a battery and immersed in a field perpendicular to its surface. The Hall voltage reads 12.5 V and the measured drift velocity is 50 m. s. What is the magnetic field?

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Question: V Figure 1. A rectangular sample of semiconductor is in a magnetic field B, oriented approximately into the page, as shown. The sample is connected to an ammeter, voltmeter and a voltage source. The schematic shows a circuit involving a sample of semiconductor, whose cross-section is L by w. The sketch is not to scale and the electrodes attached to the sample are not shown. A uniform magnetic field B is applied in the direction indicated by the crosses (roughly, into the page). Each charge carrier has a charge q and the density of charge carriers, measured in ions per cubic metre, is n. Part 1) Use the definition of electric current to give an expression for the average speed of the charge carriers when the ammeter registers a current i. vd = Part 2) Give an expression for the magnitude of the magnetic force on a charge carrier. Your answer should be in terms of ¿, not v. F= Part 3) The magnetic force in part 2 produces a lateral displacement in the charge carriers, and the…

Chapter 9 Solutions

University Physics Volume 3

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