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= ((70.0) j+(27.0) 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 = (5614.454617641177) × 1020.0i N · m and potential energy is U = -808.2470825481978 × 1020.0 J.
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= ((70.0) j+(27.0) 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 = (5614.454617641177) × 1020.0i N · m and potential energy is U = -808.2470825481978 × 1020.0 J.
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Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N - m² /C2. Vacuum permittivity, eg = 8.854 x 10-12 F/m. Magnitude
of the Charge of one electron, e = -1.60217662 × 10-1º C. Mass of one electron, me = 9.10938356 x 10-31 kg. Unless specified otherwise, each
symbol carries their usual meaning. For example, µC means micro coulomb .
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 = lyj+ µzk which remains unchanged without the application of external magnetic field. Suppose, a uniform
magnetic field given by, B = ((70.0) j+ (27.0) 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 = (5614.454617641177) × 1029.0¿ N · m and potential energy is U = –808.2470825481978 × 1029.0 J.
Transcribed Image Text:a. 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.
N - m/T
z component of the dipole moment
Give your answer to at least three significance digits.
N- m/T
b. 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.
joules
c. 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.
N. m/T
magnitude of magnetic dipole moment at position 1
Give your answer to at least three significance digits.
N- m/T
d. How much external energy is required to keep the dipole in maximum potential energy position?
absolute value of external energy
Give your answer to at least three significance digits.
joules
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