Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Chapter 26, Problem 72P
To determine
The magnetic field strength by plotting a straight line graph between hall potential and current.
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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.
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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 =
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The Hall effect can be used to determine the density of mobile electrons in a conductor. A thin strip of the material being
investigated is immersed in a magnetic field and oriented so that its surface is perpendicular to the field. In a particular
measurement, the magnetic field strength was 0.723 T, the strip was 0.107 mm thick, the current along the strip was
2.83 A, and the Hall voltage between the strip's edges was 2.73 mV.
Find the density n of mobile electrons in the material. The elementary charge is 1.602 x 10-1° C.
n =
-3
m
The Hall effect can be used to determine the density of mobile electrons in a conductor. A thin strip of the material being
investigated is immersed in a magnetic field and oriented so that its surface is perpendicular to the field. In a particular
measurement, the magnetic field strength was 0.735 T, the strip was 0.101 mm thick, the current along the strip was 2.95 A, and
the Hall voltage between the strip's edges was 2.95 mV.
Find the density n of mobile electrons in the material. The elementary charge is 1.602 x 10-19 C.
1.56 x104
n 3=
-3
Incorrect
Chapter 26 Solutions
Essential University Physics
Ch. 26.2 - The figure shows a proton in a magnetic field. (1)...Ch. 26.3 - A proton of the same energy as the electron in...Ch. 26.4 - Prob. 26.4GICh. 26.5 - Prob. 26.5GICh. 26.6 - Prob. 26.6GICh. 26.7 - Which of the following best describes the...Ch. 26.8 - The figure shows three parallel wires carrying...Ch. 26 - An electron moving with velocity v through a...Ch. 26 - A magnetic field points out of this page. Will a...Ch. 26 - Do particles in a cyclotron gain energy from the...
Ch. 26 - Two identical particles carrying equal charge are...Ch. 26 - Prob. 5FTDCh. 26 - Do currents in the same direction attract or...Ch. 26 - If a current is passed through an unstretched...Ch. 26 - Figure 26.38 shows some magnetic field lines...Ch. 26 - Prob. 9FTDCh. 26 - Prob. 10FTDCh. 26 - Find (a) the minimum magnetic field needed to...Ch. 26 - An electron moving at right angles to a 0.10-T...Ch. 26 - Find the magnitude of the magnetic force on a...Ch. 26 - The magnitude of Earths magnetic field is about...Ch. 26 - A velocity selector uses a 60-mT magnetic field...Ch. 26 - Prob. 16ECh. 26 - How long: does it take an electron to complete a...Ch. 26 - Radio astronomers detect electromagnetic radiation...Ch. 26 - Prob. 19ECh. 26 - Two protons, moving in a plane perpendicular to a...Ch. 26 - Find the magnitude of the force on a 65.5-cm-long...Ch. 26 - A wire carrying 15 A makes a 25 angle with a...Ch. 26 - In an experimental nuclear fusion reactor, plans...Ch. 26 - A wire with mass per unit length 75 g/m runs...Ch. 26 - A wire carries 6.71 A. You form it into a...Ch. 26 - A single-turn wire loop is 2.0 cm in diameter and...Ch. 26 - A 2.2-m-long wire carrying 3.5 A is wound into a...Ch. 26 - Whats the current in a long wire if the magnetic...Ch. 26 - In standard household wiring, parallel wires about...Ch. 26 - Earths magnetic dipole moment is 8.01022 Am2. Find...Ch. 26 - A single-turn square wire loop 18.0 cm on a side...Ch. 26 - An electric motor contains a 250-turn circular...Ch. 26 - The line integral of the magnetic field on a...Ch. 26 - The magnetic field shown in Fig. 26.39 has uniform...Ch. 26 - Number 12 gauge wire, commonly used in household...Ch. 26 - Prob. 36ECh. 26 - A superconducting solenoid has 3300 turns per...Ch. 26 - Example 26.2: Chlorine is an unusual element in...Ch. 26 - Example 26.2: You’re trying to measure arsenic...Ch. 26 - Example 26.2: A beam of elections is initially...Ch. 26 - Example26.2: The mass spectrometer described in...Ch. 26 - Example 26.7: A long, straight wire 9.27 mm in...Ch. 26 - Example 26.7: Niobium-tin, a commonly used...Ch. 26 - Prob. 44ECh. 26 - Example 26.7: A coaxial cable like the one...Ch. 26 - Prob. 46PCh. 26 - Jupiter has the strongest magnetic field in our...Ch. 26 - A proton moving with velocity v1 = 3.6 104 m/s...Ch. 26 - A simplified model of Earths magnetic field has it...Ch. 26 - Before the advent of today’s flat-screen...Ch. 26 - Show that the orbital radius of a charged particle...Ch. 26 - Prob. 52PCh. 26 - Prob. 53PCh. 26 - Prob. 54PCh. 26 - Youre designing a prosthetic ankle that includes a...Ch. 26 - A 20-cm-long conducting rod with mass 18 g is...Ch. 26 - Prob. 57PCh. 26 - Nuclear magnetic resonance (NMR) is a technique...Ch. 26 - A wire carrying 1.5 A passes through a 48-mT...Ch. 26 - Your smartphone contains a magnetometer that uses...Ch. 26 - A single piece of wire carrying current I is bent...Ch. 26 - You and a friend get lost while hiking, so your...Ch. 26 - Part of a long wire carrying current I is bent...Ch. 26 - A long, straight wire carries a 25-A current. A...Ch. 26 - A long conducting rod of radius R carries a...Ch. 26 - A long, hollow conducting pipe of radius R carries...Ch. 26 - You have 10 m of 0.50-mm-diameter copper wire and...Ch. 26 - Prob. 69PCh. 26 - The largest lightning strikes have peak currents...Ch. 26 - Prob. 71PCh. 26 - Prob. 72PCh. 26 - Prob. 73PCh. 26 - A circular wire loop of radius 15 cm and...Ch. 26 - Prob. 75PCh. 26 - A long, hollow conducting pipe of radius R and...Ch. 26 - A solid conducting wire of radius R runs parallel...Ch. 26 - A disk of radius a carries uniform surface charge...Ch. 26 - Youre developing a system to orient an orbiting...Ch. 26 - Prob. 80PCh. 26 - Prob. 81PCh. 26 - Find an expression for the magnetic field at the...Ch. 26 - Prob. 83PCh. 26 - A Helmholtz coil is a pair of identical circular...Ch. 26 - Prob. 85PCh. 26 - Derive Equation 26.20 by considering the current...Ch. 26 - Your roommate is sold on magnet therapy, a sham...Ch. 26 - A toroid is a solenoid-like coil bent into a...Ch. 26 - A toroid is a solenoid-like coil bent into a...Ch. 26 - A toroid is a solenoid-like coil bent into a...Ch. 26 - A toroid is a solenoid-like coil bent into a...
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