Q: A sphere of linear magnetic material is placed in an otherwise uniform
A sphere of linear magnetic material is placed in an otherwise uniform magnetic field B0. Find the new field inside the sphere. [Hint: See Prob. 6.15 or Prob. 4.23.]
See AnswerQ: On the basis of the naïve model presented in Sect. 6
On the basis of the naïve model presented in Sect. 6.1.3, estimate the magnetic susceptibility of a diamagnetic metal such as copper. Compare your answer with the empirical value in Table 6.1, and com...
See AnswerQ: Find the angle between the body diagonals of a cube.
Find the angle between the body diagonals of a cube.
See AnswerQ: Calculate the surface integral of the function in Ex. 1.
Calculate the surface integral of the function in Ex. 1.7, over the bot- tom of the box. For consistency, let “upward” be the positive direction. Does the surface integral depend only on the boundary...
See AnswerQ: Starting from the Lorentz force law, in the form of Eq
Starting from the Lorentz force law, in the form of Eq. 5.16, show that the torque on any steady current distribution (not just a square loop) in a uniform field B is m × B.
See AnswerQ: How would you go about demagnetizing a permanent magnet (such as
How would you go about demagnetizing a permanent magnet (such as the wrench we have been discussing, at point c in the hysteresis loop)? That is, how could you restore it to its original state, with M...
See AnswerQ: (a) Show that the energy of a magnetic dipole in
(a) Show that the energy of a magnetic dipole in a magnetic ï¬eld B is [Assume that the magnitude of the dipole moment is ï¬xed, and all you have to do is move it into pl...
See AnswerQ: In Prob. 6.4, you calculated the force on
In Prob. 6.4, you calculated the force on a dipole by “brute force.†Here’s a more elegant approach. First write B(r) as a Taylor expansion about...
See AnswerQ: A familiar toy consists of donut-shaped permanent magnets (magnetization
A familiar toy consists of donut-shaped permanent magnets (magnetization parallel to the axis), which slide frictionlessly on a vertical rod (Fig. 6.31). Treat the magnets as dipoles, with mass md and...
See AnswerQ: Imagine two charged magnetic dipoles (charge q, dipole moment m
Imagine two charged magnetic dipoles (charge q, dipole moment m), constrained to move on the z axis (same as Problem 6.23(a), but without gravity). Electrically they repel, but magnetically (if both m...
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