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 = Hy3+ µzk which remains unchanged without the application of external magnetic field. Suppose, a uniform magnetic field given by, B = ((42.0) ĵ +(-60.0) k) 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 Ť = (-3420.19944727) × 1029.0 % N · m and potential energy is U = –3928.529972 × 1029.0 J. %3D x 10° Tesla. Some neutron stars can generate such intense magnetic field. When this magnetic i) Find the y and z component of magnetic dipole moment at this position?

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Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C². Vacuum permittivity, eo = 8.854 × 10
of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, me = 9.10938356 × 10
symbol carries their usual meaning. For example, µC means micro coulomb .
F/m. Magnitude
31
kg. Unless specified otherwise, each
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 = Hyj+ µzk which remains unchanged without the application of external magnetic field. Suppose, a uniform
magnetic field given by, B = ((42.0) j + (-60.0) k) × 10º 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 = (-3420.19944727) × 1029.0 i N · m and potential energy is U = -3928.529972 × 1029.0 J.
i) Find the y and z component of magnetic dipole moment at this position?
Transcribed Image Text:-12 Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C². Vacuum permittivity, eo = 8.854 × 10 of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, me = 9.10938356 × 10 symbol carries their usual meaning. For example, µC means micro coulomb . F/m. Magnitude 31 kg. Unless specified otherwise, each 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 = Hyj+ µzk which remains unchanged without the application of external magnetic field. Suppose, a uniform magnetic field given by, B = ((42.0) j + (-60.0) k) × 10º 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 = (-3420.19944727) × 1029.0 i N · m and potential energy is U = -3928.529972 × 1029.0 J. i) Find the y and z component of magnetic dipole moment at this position?
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