B2 021 8
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6.23
Please write
Transcribed Image Text:B2
021
Figure 6.32
ly magnetized sphere (6.16),
of linear magnetic material in an otherwise
sphere, due to steady currents within the sphere
nent magnets (magnetization
11 Treat the
![1
e
tic
our
rational force downward. At what height (z)
does it float?
(b) If you now add a third magnet (parallel to the bottom one), what is the ratio of the
two heights? (Determine the actual number, to three significant digits.)
Z = [3μom²/2nMg]¹/4; (b) x/y
(Answer: (a) z
0.8501)
Problem 6.23 At the interface between one linear magnetic material and another the mag-
netic field lines bend (see Fig. 6.32). Show that tan 0₂/tan 0₁ = 42/₁, assuming there is
no free current at the boundary.
Problem 6.24 A magnetic dipole m is imbedded at the center of a sphere (radius R) of linear
magnetic material (permeability μ). Show that the magnetic field inside the sphere
(0 < r < R) is
μ
4T
G [3(m.) - m] +
What is the field outside the sphere?
2(μo -μ)m
(2μo + μ) R³](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F590efbb4-bfa3-48e4-b7a4-ba8d0f00ec23%2F3cdb1313-0026-411b-982f-5f0a8c3c6066%2Fwv8zno_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1
e
tic
our
rational force downward. At what height (z)
does it float?
(b) If you now add a third magnet (parallel to the bottom one), what is the ratio of the
two heights? (Determine the actual number, to three significant digits.)
Z = [3μom²/2nMg]¹/4; (b) x/y
(Answer: (a) z
0.8501)
Problem 6.23 At the interface between one linear magnetic material and another the mag-
netic field lines bend (see Fig. 6.32). Show that tan 0₂/tan 0₁ = 42/₁, assuming there is
no free current at the boundary.
Problem 6.24 A magnetic dipole m is imbedded at the center of a sphere (radius R) of linear
magnetic material (permeability μ). Show that the magnetic field inside the sphere
(0 < r < R) is
μ
4T
G [3(m.) - m] +
What is the field outside the sphere?
2(μo -μ)m
(2μo + μ) R³
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