Problem 10: A magnetic needle with magnetic moment μ-0.065 Am2 is placed in a uniform magnetic field B0.65 T as shown in the figure. The angle between the direction of the magnetic moment and the direction of the magnetic field is θ 250 Randomized Variables μ= 0.065 Arn B- 0.65T θ 250 Δ Part (a) Express the potential energy U in terms oft, B, θ. | cos(p) sin(p) | cos(α) sin(a) cos(0) sin(0) ( HOMI 4 5 6 BACKSPACE CLEAR Submit Hint I give up! Hints: 1% deduction per hint. Hints remaining: 1 Feedback: 1% deduction per feedback. Part (b) Calculate the numerical value of U in J. Part (c) If θ can be changed, which value has the minimum potential energy? Part (d) If θ can be changed, which value has the maximum potential energy in degrees? Δ Part (e) Ignore the mass of the needle, express the work needed to change the angle from θ to α in terms oftı, B, θ, α Part (f) If α-1500, calculate the numerical value of the work in J.

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Chapter1: Units, Trigonometry. And Vectors
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Problem 10:
A magnetic needle with magnetic moment μ-0.065 Am2 is placed
in a uniform magnetic field B0.65 T as shown in the figure. The angle between the
direction of the magnetic moment and the direction of the magnetic field is θ 250
Randomized Variables
μ= 0.065 Arn
B- 0.65T
θ 250
Δ
Part (a) Express the potential energy U in terms oft, B, θ.
| cos(p)
sin(p)
|
cos(α)
sin(a)
cos(0)
sin(0)
(
HOMI
4 5 6
BACKSPACE
CLEAR
Submit
Hint
I give up!
Hints: 1% deduction per hint. Hints remaining: 1
Feedback: 1% deduction per feedback.
Part (b) Calculate the numerical value of U in J.
Part (c) If θ can be changed, which value has the minimum potential energy?
Part (d) If θ can be changed, which value has the maximum potential energy in
degrees?
Δ Part (e) Ignore the mass of the needle, express the work needed to change the angle
from θ to α in terms oftı, B, θ, α
Part (f) If α-1500, calculate the numerical value of the work in J.
Transcribed Image Text:Problem 10: A magnetic needle with magnetic moment μ-0.065 Am2 is placed in a uniform magnetic field B0.65 T as shown in the figure. The angle between the direction of the magnetic moment and the direction of the magnetic field is θ 250 Randomized Variables μ= 0.065 Arn B- 0.65T θ 250 Δ Part (a) Express the potential energy U in terms oft, B, θ. | cos(p) sin(p) | cos(α) sin(a) cos(0) sin(0) ( HOMI 4 5 6 BACKSPACE CLEAR Submit Hint I give up! Hints: 1% deduction per hint. Hints remaining: 1 Feedback: 1% deduction per feedback. Part (b) Calculate the numerical value of U in J. Part (c) If θ can be changed, which value has the minimum potential energy? Part (d) If θ can be changed, which value has the maximum potential energy in degrees? Δ Part (e) Ignore the mass of the needle, express the work needed to change the angle from θ to α in terms oftı, B, θ, α Part (f) If α-1500, calculate the numerical value of the work in J.
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