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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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A planet with earth like magnetic field can be considered as a bar magnet. Suppose, we have such a bar magnet. We will treat it a
magnetic dipole. Its dipole moment is given by the i = µyj +µ,kwhich remains unchanged without the application of external
magnetic field. Suppose, a uniform magnetic field given by, B = ((-40.0) j + (–35.0) k) × 10° Tesla. Some neutron stars can
generate such intense magnetic field. When this magnetic field is applied, the bar magnet starts to rotate. At some instant during
rotation, consider it as "position 1" of the dipole, it's torque is 7 = (2055.2023883969796) × 10²9.0 i N · m and potential energy
is U = -2890.651854292964 × 1029.0 J.
a) Find the y and z component of magnetic dipole moment at this position?
y component of the dipole moment
Give your answer to at least three significance digits.
z component of the dipole moment
Give your answer to at least three significance digits.
b) What is the angle between magnetic dipole moment and magnetic field in this position?
angle between magnetic dipole moment and magnetic field
Give your answer to at least three significance digits.
c) Calculate the minimum potential energy the dipole moment can have in the applied magnetic field.
minimum potential energy
Give your answer to at least three significance digits.
d) Find the y and z component of magnetic dipole moment at the minimum potential energy position?
y component of the dipole moment
Give your answer to at least three significance digits.
z component of the dipole moment
Give your answer to at least three significance digits.
e) How much energy is lost by the bar magnet when it comes to minimum potential energy position from position 1?
absolute value of the lost energy
Give your answer to at least three significance digits.
f) What is the magnitude of magnetic dipole moment before it starts to rotate and at position 1?
magnitude of magnetic dipole moment before
Give your answer to at least three significance digits.
magnitude of magnetic dipole moment at position 1
Give your answer to at least three significance digits.
g) How much external energy is required to keep the dipole in maximum potential energy position?
Transcribed Image Text:22:14 0.03 KB/S 68% O A planet with earth like magnetic field can be considered as a bar magnet. Suppose, we have such a bar magnet. We will treat it a magnetic dipole. Its dipole moment is given by the i = µyj +µ,kwhich remains unchanged without the application of external magnetic field. Suppose, a uniform magnetic field given by, B = ((-40.0) j + (–35.0) k) × 10° Tesla. Some neutron stars can generate such intense magnetic field. When this magnetic field is applied, the bar magnet starts to rotate. At some instant during rotation, consider it as "position 1" of the dipole, it's torque is 7 = (2055.2023883969796) × 10²9.0 i N · m and potential energy is U = -2890.651854292964 × 1029.0 J. a) Find the y and z component of magnetic dipole moment at this position? y component of the dipole moment Give your answer to at least three significance digits. z component of the dipole moment Give your answer to at least three significance digits. b) What is the angle between magnetic dipole moment and magnetic field in this position? angle between magnetic dipole moment and magnetic field Give your answer to at least three significance digits. c) Calculate the minimum potential energy the dipole moment can have in the applied magnetic field. minimum potential energy Give your answer to at least three significance digits. d) Find the y and z component of magnetic dipole moment at the minimum potential energy position? y component of the dipole moment Give your answer to at least three significance digits. z component of the dipole moment Give your answer to at least three significance digits. e) How much energy is lost by the bar magnet when it comes to minimum potential energy position from position 1? absolute value of the lost energy Give your answer to at least three significance digits. f) What is the magnitude of magnetic dipole moment before it starts to rotate and at position 1? magnitude of magnetic dipole moment before Give your answer to at least three significance digits. magnitude of magnetic dipole moment at position 1 Give your answer to at least three significance digits. g) How much external energy is required to keep the dipole in maximum potential energy position?
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