GO Figure 28-52 gives the orientation energy U of a magnetic dipole in an external magnetic field B → , as a function of angle φ between the directions of B → and the dipole moment. The vertical axis scale is set by U s = 2.0 × 10 -4 J. The dipole can be rotated about an axle with negligible friction in order to change φ. Counterclockwise rotation from φ = 0 yields positive values of φ, and clockwise rotations yield negative values. The dipole is to be released at angle φ = 0 with a rotational kinetic energy of 6.7 × 10 -4 J, so that it rotates counterclockwise. To what maximum value of φ will it rotate? (In the language of Module 8-3, what value φ is the turning point in the potential well of Fig. 28-52?) Figure 28-52 Problem 64.
GO Figure 28-52 gives the orientation energy U of a magnetic dipole in an external magnetic field B → , as a function of angle φ between the directions of B → and the dipole moment. The vertical axis scale is set by U s = 2.0 × 10 -4 J. The dipole can be rotated about an axle with negligible friction in order to change φ. Counterclockwise rotation from φ = 0 yields positive values of φ, and clockwise rotations yield negative values. The dipole is to be released at angle φ = 0 with a rotational kinetic energy of 6.7 × 10 -4 J, so that it rotates counterclockwise. To what maximum value of φ will it rotate? (In the language of Module 8-3, what value φ is the turning point in the potential well of Fig. 28-52?) Figure 28-52 Problem 64.
GO Figure 28-52 gives the orientation energy U of a magnetic dipole in an external magnetic field
B
→
, as a function of angle φ between the directions of
B
→
and the dipole moment. The vertical axis scale is set by Us = 2.0 × 10-4 J. The dipole can be rotated about an axle with negligible friction in order to change φ. Counterclockwise rotation from φ = 0 yields positive values of φ, and clockwise rotations yield negative values. The dipole is to be released at angle φ = 0 with a rotational kinetic energy of 6.7 × 10-4 J, so that it rotates counterclockwise. To what maximum value of φ will it rotate? (In the language of Module 8-3, what value φ is the turning point in the potential well of Fig. 28-52?)
current i =56.2 mA is set up in a loop havingtwo radial lengths and two semicir-cles of radii a = 5.72 cm and b =9.36 cm with a common centerP.What are the (a) magnitude and (b) direction (into or out ofthe page) of the magnetic field at P and the (c) magnitude and(d) direction of the loop’s magnetic dipole moment?
A 6.75 g wire of length L 15.0 cm is suspended by a pair of flexible leads in a uniform magnetic field of magnitude 0.440 T (Fig. 28-30). What are the (a) magnitude and (b) direction (left or right) of the current required to remove the tension in the supporting leads?
Please explain the solution step by step
Figure 28-29 shows a rectangular 28-turn coil of wire, of dimensions 10 cm by 5.0 cm. It carries a current of 0.80 A and is hinged along one long side. It is mounted in the XY plane, at angle θ=25∘θ=25∘ to the direction of a uniform magnetic field of magnitude 0.50 T. In unit vector notation, what is the torque acting on the coil about the hinge line?
Please show step by step in solving this problem. Thanks
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