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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

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

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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
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
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: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.
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