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 ji = Hyj +µzk which remains unchanged without the application of external magnetic field. Suppose, a uniform magnetic field given by, B = ((-23.0) j + (62.0) 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 = (2390.65415374) × 1029.0 ? N · m and potential energy is U = -3857.10120651 x 1029.0 J.

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a. Find the y and z component of magnetic dipole moment at this position.

b. What is the angle between magnetic dipole moment and magnetic field in this position?

c. Calculate the minimum potential energy the dipole moment can have in the applied magnetic field.

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 = ((-23.0) j + (62.0) 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 = (2390.65415374) x 1029.0 2 N m and potential energy is U = -3857.10120651 × 1029.0 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 = ((-23.0) j + (62.0) 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 = (2390.65415374) x 1029.0 2 N m and potential energy is U = -3857.10120651 × 1029.0 J.
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