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GO Figure 28-52 gives the orientation energy U of a magnetic dipole in an external magnetic field
Figure 28-52 Problem 64.
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Chapter 28 Solutions
Fundamentals Of Physics
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- Acircularcoiofwireofradius5.Ocmhas2Otums and carries a current of 2.0 A. The coil lies in a magnetic field of magnitude 0.50 T that is directed parallel to the plane of the coil. (a) What is the magnetic dipole moment of the coil? (b) What is the torque on the coil?arrow_forwardAssume the region to the right of a certain plane contains a uniform magnetic field of magnitude 1.00 mT and the field is zero in the region to the left of the plane as shown in Figure P22.71. An electron, originally traveling perpendicular to the boundary plane, passes into the region of the field. (a) Determine the time interval required for the electron to leave the field-filled region, noting that the electrons path is a semicircle. (b) Assuming the maximum depth of penetration into the field is 2.00 cm, find the kinetic energy of the electron.arrow_forwardCheck Your Understanding In what orientation would a magnetic dipole have to be to produce (a) a maximum torque in a magnetic field? (b) A maximum energy of the dipole?arrow_forward
- A proton moving in the plane of the page has a kinetic energy of 6.00 MeV. A magnetic field of magnitude H = 1.00 T is directed into the page. The proton enters the magnetic field with its velocity vector at an angle = 45.0 to the linear boundary of' the field as shown in Figure P29.80. (a) Find x, the distance from the point of entry to where the proton will leave the field. (b) Determine . the angle between the boundary and the protons velocity vector as it leaves the field.arrow_forwardThe magnetic dipole moment of a current-carrying loop of wire is in the positive z direction. If a uniform magnetic field is in the positive x direction the magnetic torque on the loop is: (0 , in the positive y direction, in the negative y direction, in the positive z direction, in the negative z direction.)arrow_forwardThe figure shows four orientations, at angle u, of a magnetic dipole moment in a magnetic field. Rank the orientations according to The magnitude of the torque on the dipole and The orientation energy of the dipole, greatest first.arrow_forward
- 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?arrow_forwardA charge q is distributed uniformly around a thin ring of radius r.The ring is rotating about an axis through its center and perpendicular to its plane, at an angular speed v. (a) Show that the magnetic moment due to the rotating charge has magnitude m mw 1/2 qvr 2 . (b) What is the direction of this magnetic moment if the charge is positive?arrow_forwardConsider the situation when almost all of the magnetic moments of a sample of a particular ferromagnetic metal are aligned. In this case, the magnetic field can be calculated as the permeability constant uo multiplied by the magnetic moment per unit volume. In a sample of iron, for example, where the number density of atoms is approximately 8.50 x 1028 atoms/m³, the magnetic field can reach 1.96 T. If each electron contributes a magnetic moment of 9.27 x 10-24 A· m2 (1 Bohr magneton), how many electrons per atom contribute to the saturated field of iron? electrons/atomarrow_forward
- (a) A particle of charge q moves in a circular path of radius r in a uniform magnetic field B. If the magnitude of the magnetic field is double, and the kinetic energy of the particle is the same, how does the angular momentum of the particle differ? (b) Show that the magnetic dipole moment M (Section 20-9) of an electron orbiting the proton nucleus of a hydrogen atom is related to the orbital angular momentum L of the electron by e e L. 2m Marrow_forwardA loop of wire has a magnetic moment of ?=0.042 Am^2 that is towards into the page and is placed in a magnetic field B, which has a value of 22 mT at a 51-degree angle going out of the page from a line that is towards the top of the page. Find the torque of the loop using the following equation; t=? x Barrow_forwardum)A proton (q=1.6 x Directions of ở and B for a proton in a magnetic field. 10 -19 C) has an energy 5 MeV moves with velocity v through a uniform 2.0 T magnetic field directed along the positive z-axis, proton moves in the x-z plane and makes an angle 30° with the magnetic field as shown in the figure. (a)- Write v & B in vector form by using the components of v & B. (b) Find the speed of the electron by using the given energy value. Remember that 1Mev =1.6x10 13 J. (c)- By using the vector equation calculate the vector magnetic force. Find the direction of the magnetic force on proton by using the right hand rule. (d) Use scaler magnetic force equation calculate the magnitude of magnetic force. (Important note:If you are not able to do part (a), it means you cannot do part (c). Then do part (d) , but if you do part (c) then you do not need to do part (d)). 30 ởarrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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