Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 26, Problem 57P
(a)
To determine
The proof that average current is
(b)
To determine
The proof that relation between magnetic moment and
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The negative charged particle e moving in the xy_plane is subject to a magnetic force due to a constant magnetic field B that points in the z-direction. Assume that the electron loses 10 percent of its kinetic energy after 20 turns, as a consequence of frictional forces. Calculate the fractional change in both the radius of the orbit and the angular momentum during the same 20 turns.
What is the energy difference between parallel and antiparallel alignment of the z component of an electron’s spin magnetic dipole moment with an external magnetic field of magnitude 0.25 T, directed parallel to the z axis?
If an electron in an atom has an orbital angular momentum with ml = 2, 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 ml = -1, what are (e) Lorb,z, (f) μorb,z, (g) the potential energy Uorb 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?
Chapter 26 Solutions
Physics for Scientists and Engineers
Ch. 26 - Prob. 1PCh. 26 - Prob. 2PCh. 26 - Prob. 3PCh. 26 - Prob. 4PCh. 26 - Prob. 5PCh. 26 - Prob. 6PCh. 26 - Prob. 7PCh. 26 - Prob. 8PCh. 26 - Prob. 9PCh. 26 - Prob. 10P
Ch. 26 - Prob. 11PCh. 26 - Prob. 12PCh. 26 - Prob. 13PCh. 26 - Prob. 14PCh. 26 - Prob. 15PCh. 26 - Prob. 16PCh. 26 - Prob. 17PCh. 26 - Prob. 18PCh. 26 - Prob. 19PCh. 26 - Prob. 20PCh. 26 - Prob. 21PCh. 26 - Prob. 22PCh. 26 - Prob. 23PCh. 26 - Prob. 24PCh. 26 - Prob. 25PCh. 26 - Prob. 26PCh. 26 - Prob. 27PCh. 26 - Prob. 28PCh. 26 - Prob. 29PCh. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - Prob. 32PCh. 26 - Prob. 33PCh. 26 - Prob. 34PCh. 26 - Prob. 35PCh. 26 - Prob. 36PCh. 26 - Prob. 37PCh. 26 - Prob. 38PCh. 26 - Prob. 39PCh. 26 - Prob. 40PCh. 26 - Prob. 41PCh. 26 - Prob. 42PCh. 26 - Prob. 43PCh. 26 - Prob. 44PCh. 26 - Prob. 45PCh. 26 - Prob. 46PCh. 26 - Prob. 47PCh. 26 - Prob. 48PCh. 26 - Prob. 49PCh. 26 - Prob. 50PCh. 26 - Prob. 51PCh. 26 - Prob. 52PCh. 26 - Prob. 53PCh. 26 - Prob. 54PCh. 26 - Prob. 55PCh. 26 - Prob. 56PCh. 26 - Prob. 57PCh. 26 - Prob. 58PCh. 26 - Prob. 59PCh. 26 - Prob. 60PCh. 26 - Prob. 61PCh. 26 - Prob. 62PCh. 26 - Prob. 63PCh. 26 - Prob. 64PCh. 26 - Prob. 65PCh. 26 - Prob. 66PCh. 26 - Prob. 67PCh. 26 - Prob. 68PCh. 26 - Prob. 69PCh. 26 - Prob. 70PCh. 26 - Prob. 71PCh. 26 - Prob. 72PCh. 26 - Prob. 73PCh. 26 - Prob. 74PCh. 26 - Prob. 75PCh. 26 - Prob. 76PCh. 26 - Prob. 77PCh. 26 - Prob. 78PCh. 26 - Prob. 79PCh. 26 - Prob. 80PCh. 26 - Prob. 81P
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- Show that U=B . (Hint: An infinitesimal amount of work is done to align the magnetic moment with the external field. This work rotates the magnetic moment vector through an angle - d(toward the positive z-direction), where d is a positive angle change.)arrow_forwardOn what factors does the orbital magnetic dipole moment of an electron depend?arrow_forwardIn the figure, an electron accelerated from rest through potential difference V1=1.26 kV enters the gap between two parallel plates having separation d = 19.6 mm and potential difference V2= 52.4 V. The lower plate is at the lower potential. Neglect fringing and assume that the electron's velocity vector is perpendicular to the electric field vector between the plates. In unit-vector notation, what uniform magnetic field allows the electron to travel in a straight line in the gap? I need this in units of mT.arrow_forward
- In the figure, an electron accelerated from rest through potential difference V1=1.26 kV enters the gap between two parallel plates having separation d = 19.6 mm and potential difference V2= 52.4 V. The lower plate is at the lower potential. Neglect fringing and assume that the electron's velocity vector is perpendicular to the electric field vector between the plates. In unit-vector notation, what uniform magnetic field allows the electron to travel in a straight line in the gap?arrow_forwardThe exchange coupling as being responsible for ferromagnetism is not the mutual magnetic interaction between two elementary magnetic dipoles. To show this, calculate (a) the magnitude of the magnetic field a distance of 11 nm away, along a dipole axis, from an atom with magnetic dipole moment 1.9 × 10-23 J/T, and (b) the minimum energy required to turn a second identical dipole end for end in this field.arrow_forwardWhat is the measured component of the orbital magnetic dipole moment of an electron with (a)ml=1 and (b)ml=-2 ?arrow_forward
- an electron accelerated from rest through potential difference V1 1.00 kV enters the gap between two parallel plates having separation d =20.0 mm and potential difference V2 =100 V.The lower plate is at the lower potential. Neglect fringing and assume that the electron’s velocity vector is perpendicular to the electric field vector between the plates. In unit-vector notation, what uniform magnetic field allows the electron to travel in a straight line in the gap?arrow_forwardDerive an expression for the magnetic dipole moment of a revolving electron.arrow_forwardA positively charged particle located at the origin of anxyz coordinate system spins about the z axis, and the spin iscounterclockwise when viewed looking down from the positivez axis toward the origin. Is the line integral of the magneticfield positive, negative, or zero for an Ampèrian path going(a) clockwise around the origin in the xy plane when viewedlooking down from the positive z axis, (b) clockwise around theorigin in the yz plane when viewed looking from the positivex axis, and (c) clockwise around the origin in the xz plane whenviewed looking from the positive y axis? ⦁arrow_forward
- A proton precesses with a frequency p in the presence of a magnetic field. If the intensity of the magnetic field is doubled, what happens to the precessional frequency?arrow_forwardWhat is the measured component of the orbital magnetic dipole moment of an electron with the values (a)ml=3 and (b)ml=-4 ?arrow_forwardThe exchange coupling mentioned in Module 32-8 as being responsible for ferromagnetism is not the mutual magnetic interaction between two elementary magnetic dipoles. To show this, calculate (a) the magnitude of the magnetic field a distance of 10 nm away, along the dipole axis, from an atom with magnetic dipole moment 1.5 * 10-23 J/T (cobalt), and (b) the minimum energy required to turn a second identical dipole end for end in this field. (c) By comparing the latter with the mean translational kinetic energy of 0.040 eV, what can you conclude?arrow_forward
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