FUNDAMENTALS OF PHYSICS,AP ED.
11th Edition
ISBN: 9781119472780
Author: Halliday
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 28, Problem 82P
To determine
To find:
a) The drift velocity of charge carriers
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.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
In a Hall-effect experiment, a current of 3.0 A sent lengthwise through a conductor 0.83 cm wide,
3.0 cm long, and 9.3 μm thick produces a transverse (across the width) Hall potential difference of
9.7 μV when a magnetic field of 1.5 T is passed perpendicularly through the thickness of the
conductor. From these data, find (a) the drift speed of the charge carriers and (b) the number
density of charge carriers.
(a) Number
(b) Number
i
i
!
!
Units
Units
m/s
m^-3 or 1/m^3
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.
In a Hall-effect experiment, a current of 2.3 A sent lengthwise through a conductor 1.2 cm wide, 3.9 cm long, and 10 μm thick produces
a transverse (across the width) Hall potential difference of 8.4 µV when a magnetic field of 1.3 T is passed perpendicularly through the
thickness of the conductor. From these data, find (a) the drift speed of the charge carriers and (b) the number density of charge
carriers.
(a) Number
M.
i
(b) Number i
Units
Units
Chapter 28 Solutions
FUNDAMENTALS OF PHYSICS,AP ED.
Ch. 28 - Prob. 1QCh. 28 - Prob. 2QCh. 28 - Prob. 3QCh. 28 - Prob. 4QCh. 28 - In Module 28-2, we discussed a charged particle...Ch. 28 - Prob. 6QCh. 28 - Figure 28-27 shows the path of an electron that...Ch. 28 - Figure 28-28 shows the path of an electron in a...Ch. 28 - Prob. 9QCh. 28 - Particle round about. Figure 28-29 shows 11 paths...
Ch. 28 - Prob. 11QCh. 28 - Prob. 12QCh. 28 - Prob. 1PCh. 28 - A particle of mass 10 g and charge 80 C moves...Ch. 28 - An electron that has an instantaneous velocity of...Ch. 28 - An alpa particle travels at a velocity of...Ch. 28 - GO An electron moves through a unifrom magnetic...Ch. 28 - Prob. 6PCh. 28 - Prob. 7PCh. 28 - An electric field of 1.50 kV/m and a perpendicular...Ch. 28 - ILW In Fig. 28-32, an electron accelerated from...Ch. 28 - A proton travels through uniform magnetic and...Ch. 28 - Prob. 11PCh. 28 - Go At time t1 an electron is sent along the...Ch. 28 - Prob. 13PCh. 28 - A metal strip 6.50 cm long, 0.850 cm wide, and...Ch. 28 - Prob. 15PCh. 28 - Prob. 16PCh. 28 - An alpha particle can be produced in certain...Ch. 28 - Prob. 18PCh. 28 - Prob. 19PCh. 28 - Prob. 20PCh. 28 - SSM An electron of kinetic energy 1.20 keV circles...Ch. 28 - In a nuclear experiment a proton with kinetic...Ch. 28 - What uniform magnetic field, applied perpendicular...Ch. 28 - An electron is accelerated from rest by a...Ch. 28 - a Find the frequency of revolution of an electron...Ch. 28 - Prob. 26PCh. 28 - A mass spectrometer Fig. 28-12 is used to separate...Ch. 28 - A particle undergoes uniform circular motion of...Ch. 28 - An electron follows a helical path in a uniform...Ch. 28 - GO In Fig. 28-40. an electron with an initial...Ch. 28 - A particular type of fundamental particle decays...Ch. 28 - An source injects an electron of speed v = 1.5 ...Ch. 28 - Prob. 33PCh. 28 - An electron follows a helical path in a uniform...Ch. 28 - A proton circulates in a cyclotron, beginning...Ch. 28 - Prob. 36PCh. 28 - Prob. 37PCh. 28 - In a certain cyclotron a proton moves in a circle...Ch. 28 - SSM A horizontal power line carries a current of...Ch. 28 - A wire 1.80 m long carries a current of 13.0 A and...Ch. 28 - Prob. 41PCh. 28 - Prob. 42PCh. 28 - A single-turn current loop, carrying a current of...Ch. 28 - Prob. 44PCh. 28 - ACA /ACwire 50.0 cm long carries a 0.500 A current...Ch. 28 - In Fig. 28-44, a metal wire of mass m = 24.1 mg...Ch. 28 - GO A 1.0 kg copper rod rests on two horizontal...Ch. 28 - GO A long, rigid conductor, lying along an x axis,...Ch. 28 - Prob. 49PCh. 28 - An electron moves in a circle of radius r = 5.29 ...Ch. 28 - Prob. 51PCh. 28 - Prob. 52PCh. 28 - Prob. 53PCh. 28 - A magnetic dipole with a dipole moment of...Ch. 28 - Prob. 55PCh. 28 - Prob. 56PCh. 28 - Prob. 57PCh. 28 - Prob. 58PCh. 28 - A Current loop, carrying a current of 5.0 A, is in...Ch. 28 - Prob. 60PCh. 28 - Prob. 61PCh. 28 - Prob. 62PCh. 28 - A circular loop of wire having a radius of 8.0 cm...Ch. 28 - GO Figure 28-52 gives the orientation energy U of...Ch. 28 - Prob. 65PCh. 28 - Prob. 66PCh. 28 - A stationary circular wall clock has a face with a...Ch. 28 - A wire lying along a y axis from y = 0 to y =...Ch. 28 - Atom 1 of mass 35 u and atom 2 of mass 37 u are...Ch. 28 - Prob. 70PCh. 28 - Physicist S. A. Goudsmit devised a method for...Ch. 28 - A beam of electrons whose kinetic energy is K...Ch. 28 - Prob. 73PCh. 28 - Prob. 74PCh. 28 - Prob. 75PCh. 28 - Prob. 76PCh. 28 - Prob. 77PCh. 28 - In Fig. 28-8, show that the ratio of the Hall...Ch. 28 - Prob. 79PCh. 28 - An electron is moving at 7.20 106 m/s in a...Ch. 28 - Prob. 81PCh. 28 - Prob. 82PCh. 28 - Prob. 83PCh. 28 - A write lying along an x axis from x = 0 to x =...Ch. 28 - Prob. 85PCh. 28 - Prob. 86PCh. 28 - Prob. 87PCh. 28 - Prob. 88PCh. 28 - In Fig. 28-58, an electron of mass m, charge e,...Ch. 28 - Prob. 90PCh. 28 - Prob. 91PCh. 28 - An electron that is moving through a uniform...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A strip of copper is placed in a uniform magnetic field of magnitude 2.5 T. The Hall electric field is measured to be 1.5103V/m (a) What is the drift speed of the conduction electrons? (b) Assuming that n =8.01028 elections per cubic meter and that the cross-sectional area of the strip is 5.0106m2 , calculate the current in the ship, (c) What is the Hall coefficient 1/nq?arrow_forwardThe Hall effect is to be used to find the density of charge carriers in an unknown material. A Hall voltage 40 V for 3-A current is observed in a 3-T magnetic field far a rectangular sample with length 2 cm, width 1.5 cm, and height 0.4 cm, Determine the density of the charge carriers.arrow_forwardQ. 5: (a)The Hall effect can be used to calculate the charge-carrier number density in a conductor. If a conductor carrying a current of 2.0 A is 0.5 mm thick, and the Hall effect voltage is 4.5µV when it is in a uniform magnetic field of 1.2 T, what is the density of charge carriers in the conductor?arrow_forward
- 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 Incorrectarrow_forwardThe 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 marrow_forwardA particle has been ionized so that it has a charge +6.4 C, but it has an unknown mass. The particle begins at rest at the left plate and falls from a 20 V potential to a 0 V potential. At that moment it enters a magnetic field of size 1.7 T that points into the page. The particle is observed to move in a circle of radius 2.3 m. Deduce the mass of the particle, in kg. This is how a mass spectrometer determines the mass of unknown particles, thereby determining its identity. (Please answer to the fourth decimal place - i.e 14.3225)arrow_forward
- A velocity selector consists of electric and magnetic fields described by the expressions E = E k and B = B ĵ, with B = 10.0 mT. Find the value of E (in kV/m) such that a 840 eV electron moving in the negative x-direction is undeflected. kV/m (b) What If? For the value of E found in part (a), what would the kinetic energy of a proton have to be (in MeV) for it to move undeflected in the negative x-direction? MeV A cyclotron designed to accelerate protons has a magnetic field of magnitude 0.640 T over a region of radius 1.80 m. (a) What is the cyclotron frequency? rad/s (b) What is the maximum speed acquired by the protons? m/sarrow_forwardQ#02. A strip of copper 150um thick and 45cm wide is placed in a uniform magnetic field B of magnitude 0.85T, with B perpendicular to the strip. A current i = 2.3 mA is then sent to the strip such that a Hall potential difference V appears across the width of the strip. Calculate V. (the number of charge carriers per unit volume for copper is 8.47×108electrons/m³).arrow_forwardGiven: B = 5 * 10-5 T ẑ; σ = 4 (Ohm-meters)-1 (conductivity) a) Assume that seawater is moving at a constant velocity v = v0 ŷ and that the Earth’s magnetic field is along the ẑ-direction. Calculate the electric current density J produced by the magnetic force. Hint: first compute the force per unit charge, F/q, and then use the relationship J = σ(F/q). b) Derive the equation of motion of a cylindrical differential volume element of base area δA and height δh parallelto the direction of J. Assume that seawater has a known volumetric mass density ρ. Show that this equation implies that the velocity satisfies the following differential equation:dvy/dt = vy/τwhere τ is a constant that you should write in terms of B, σ, and ρ.arrow_forward
- The angular momentum of a mass distribution where a differential element particle of mass m with velocity v and located at position r is defined in the form L = dmr x v = dvpr x v, p= nm where n is the number of particles per unit volume and m is its mass. If each of the particles has a charge q, with their movement they constitute a current J = nqv Show that the relationship between the magnetic dipole moment and the angular momentum is L m = 2m where the magnetic moment is defined m = dvr x Jarrow_forward(a)A velocity selector consists of electric and magnetic fields described by the expressions E = E and B = B ĵ, with B = 14.0 mT. Find the value of E (in kV/m) such that a 700 eV electron moving in the negative x-direction is undeflected. (b)What If? For the value of E found in part (a), what would the kinetic energy of a proton have to be (in MeV) for it to move undeflected in the negative x-direction?arrow_forwardA Hall probe uses the Hall effect to measure the size of magnetic fields - it does this by measuring the potential difference across the electric field created by the displacement of charge. A specific Hall probe calibrated to read 0.95 μV when placed in a 2.15 T field is placed in a 1.5 T field. What is its output voltage in nV?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning