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. dipole moment is given by the ji = Hyj+µzk which remains unchanged without the application of external magnetic field. Suppose, a uniform magnetic field given by, B = ((-40.0) j+ (–35.0) 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 T = (2055.2023883969796) × 1029.0 ¿ N · m and potential energy is U = –2890.651854292964 × 1029.0 J.

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a) Find the y and z component of magnetic dipole moment at the minimum potential energy position?

 

b) How much external energy is required to keep the dipole in maximum potential energy position? (FInd : absolute value of external energy)

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 = ((-40.0) j+ (-35.0) 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 = (2055.2023883969796) × 10290.0 ¿ N - m and potential energy is U = -2890.651854292964 × 1020.0 J.
Transcribed Image Text: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 = ((-40.0) j+ (-35.0) 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 = (2055.2023883969796) × 10290.0 ¿ N - m and potential energy is U = -2890.651854292964 × 1020.0 J.
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