College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
If an electron in a particular atom has an orbital magnetic quantum number of 1 , how much energy is associated with the orientation of its magnetic dipole moment in an external field of 0.945 T? For comparison, note that the energy differences between electrons in most atoms are typically on the order of an electron-volt
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 2 steps
Knowledge Booster
Similar questions
- Chapter 29: Magnetic Fields We studied how a moving charge would react in a magnetic field, which extends naturally to current where charges drift (hence moves) in a magnetic field. One special case of this is the torque due to current loops in magnetic fields: 7= μx B= IAX B since we defined the magnetic moment of a current loop as μ = IĀ. estimate the current that an electric car would have to provide to its motor such that it can do 0-100 kph in 3 seconds. Some useful hints for guidance are below: (1) . Find the acceleration using kinematics With the acceleration, what would be the torque needed for the motor to apply to the wheel? You need to estimate yourself the size of the wheel, as well as the size of the motor hub that is connected to the wheel. A simple electric motor has a permanent magnet, say of strength of 1 Tesla, and a coil acting as many current loops. You need to estimate the number of loops, you can google it just come up with a reasonable number. ● From this and…arrow_forwardAn electron is placed in a magnetic field B that is directed along a z axis. The energy difference between parallel and antiparallel alignments of the z component of the electron's spin magnetic moment with B is 5.30 x 10-25 J. What is the magnitude of B ? Number i Unitsarrow_forwardThe Hall affect is used to measure the carrier density of a thin sheet of electrons. When a current of 80.0 µA flows through the length of the electron sheet, which is 1.2-mm long, 0.27- mm wide and 12-nm thick, a magnetic field perpendicular to the sheet produces a potential difference of 0.53 mV across the width of the sheet. If the carrier density in the electron sheet is 6.74 x 1025 m-3, what is the magnitude of the magnetic field?arrow_forward
- } M/Mmax 1.0 0.75 Curie's law 0.50 0.25 Approximately linear 1.0 2.0 Quantum theory 3.0 4.0 Bext/T (T/K) • 1.30 K • 2.00 K • 3.00 K • 4.21 K A magnetization curve for potassium chromium sulfate, a paramagnetic salt. The ratio of magnetization M of the salt to the maximum possible magnetization Mmax is plotted versus the ratio of the applied magnetic field magnitude Bext to the temperature T. Curie's law fits the data at the left; quantum theory fits all the data. Based on measurements by W. E. Henry. Consider a solid containing N atoms per unit volume, each atom having a magnetic dipole moment μ. Suppose the direction of μ can be only parallel or antiparallel to an externally applied magnetic field B (this will be the case if μ is due to the spin of a single electron). According to statistical mechanics, the probability of an atom being in a state with energy U is proportional to e-U/kT, where T is the temperature and k is Boltzmann's constant. Thus, because energy U is -μB, the…arrow_forwardHow the Biot-Savart Law Differs from Ampère's Law A current Io flows up the z-axis from z = z, to z = 22 as shown below. %3D Z2 (a) Use the Biot-Savart law to show that the magnetic field in the z = 0 plane is Ho lo {cos 02 – cos 01}6. 4π ρ B(p, 6, 0) = |arrow_forwardElectrons enter a magnetic field traveling at v, = vỹ. The constant, uniform magnetic field B = 0.75 2 T acts as a filter curving the electrons to a small gap that only allows specific electron energies. The source of electrons enters the filter as a beam that is 15 micrometers in diameter and have a range of energies from 5-25 meV. The filter redirects the beam, as pictured, to the right v = và but does not speed them up. If the filter is to further narrow the range of energies from 5-25 meV to 10-12 meV, find the dimensions of the gap. In the picture, calculate ymin and ymer, both of which can be assumed to be equal to the radius of the paths taken within the magnetic field. %3D The beam being focused to 15 um at the start can be assumed to be a point source and take circular paths within the magnetic field. Outgoing "Filtered" Electrons Blocked Electrons -不: Y Vma Incoming Electronsarrow_forward
- F=0.8975r^-2.00 And re-writing it as: (4)F=0.8975/r^-2.00 We can now compare it with Coulomb’s equation: (1)F=K|q1q2|/r^2 So, comparing these equations (4) and (1) we realize that: k=|q1q2|=0.8975 Plugging in values for charges: q1 = -10µC, and q2 = 10µC, isolating k (Coulomb’s constant), and recalling that 1µC = 10-6 C, we get: k|-10µC*10µC|=0.8975 k=0.8934/|-10µC*10µC|= 0.8934/10*10^-6C*10*10^-6C (3) Use this Example calculation above, and the trendline equation (3) coefficients that you have obtained on your graph, to find k. Show your work below. Be careful with powers of ten. k= 0.8975/|-10µC*10µC|= 0.8975/10*10^-6C*10*10^-6C = (5) Now, important part in reporting the answer is properly showing its units. To derive the SI units for Coulomb’s constant k, let’s look again at the equation (1), and re-write it as: k=F*r^2/|q1q2| (6) Recalling the units for all parameters in this equation: Force, F – Newtons, [N] Distance, r –…arrow_forwardIf an electron in an atom has an orbital angular momentum with m₁ = 4, what are the components (a) Lorb,z and (b) µorb,z? If the atom is in an external magnetic field that has magnitude 33 mT and is directed along the z axis, what are (c) the potential energy Uorb associated with the electron's orbital magnetic dipole moment and (d) the magnitude of the potential energy Uspin associated with the electron's spin magnetic dipole moment? If, instead, the electron has m₁ = -2, what are (e) Lorb,z, (f) Horb,z, (g) the potential energy orb associated with the electron's orbital magnetic dipole moment and (h) the magnitude of the potential energy Uspin associated with the electron's spin magnetic dipole moment? (a) Number Units (b) Number Units (c) Number i Units (d) Number Units (e) Number i Units (f) Number امل Number Hi Units Units > >arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON