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Use the following constants if necessary. Coulomb constant, k = 8.987 x 10º N - m² /C². Vacuum permittivity, €o = 8.854 × 10-12 F/m. Magnitude of the Charge of one electron, e =-1.60217662 × 10-19 C. Mass of one electron, mẹ = 9.10938356 × 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 = Hyj+µ̟k 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 i = (5614.454617641177) × 1029.0? N - m and potential energy is U = -808.2470825481978 × 1029.0 J. a) Find the y and z component of magnetic dipole moment at this position? y component of the dipole moment Give your answer to at least three significance digits. N-m/T onent of the dipole moment Give your answer to at least three significance digits. N. m/T b) What is the angle between magnetic dipole moment and magnetic field in this position? angle between magnetic dipole moment and magnetic field Give your answer to at least three significance digits.

Use the following constants if necessary. Coulomb constant, k = 8.987 x 10º N - m² /C². Vacuum permittivity, €o = 8.854 × 10-12 F/m. Magnitude of the Charge of one electron, e =-1.60217662 × 10-19 C. Mass of one electron, mẹ = 9.10938356 × 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 = Hyj+µ̟k 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 i = (5614.454617641177) × 1029.0? N - m and potential energy is U = -808.2470825481978 × 1029.0 J. a) Find the y and z component of magnetic dipole moment at this position? y component of the dipole moment Give your answer to at least three significance digits. N-m/T onent of the dipole moment Give your answer to at least three significance digits. N. m/T b) What is the angle between magnetic dipole moment and magnetic field in this position? angle between magnetic dipole moment and magnetic field Give your answer to at least three significance digits.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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d) Find the y and z component of magnetic dipole moment 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 e) 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 f) 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 g) 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
Transcribed Image Text:d) Find the y and z component of magnetic dipole moment 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 e) 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 f) 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 g) 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
Use the following constants if necessary. Coulomb constant, k = 8.987 × 10° N · m²/C². Vacuum permittivity, €o = 8.854 × 10–12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10-19 C. Mass of one electron, m, = 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 = 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) × 10° 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) × 1020.0; N - m and potential energy is U = -808.2470825481978 × 1029.0 J. a) Find the y and z component of magnetic dipole moment at this 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) What is the angle between magnetic dipole moment and magnetic field in this position? angle between magnetic dipole moment and magnetic field Give your answer to at least three significance digits. N/C c) Calculate the minimum potential energy the dipole moment can have in the applied magnetic field. minimum potential energy Give your answer to at least three significance digits. N-m
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 × 10° N · m²/C². Vacuum permittivity, €o = 8.854 × 10–12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10-19 C. Mass of one electron, m, = 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 = 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) × 10° 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) × 1020.0; N - m and potential energy is U = -808.2470825481978 × 1029.0 J. a) Find the y and z component of magnetic dipole moment at this 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) What is the angle between magnetic dipole moment and magnetic field in this position? angle between magnetic dipole moment and magnetic field Give your answer to at least three significance digits. N/C c) Calculate the minimum potential energy the dipole moment can have in the applied magnetic field. minimum potential energy Give your answer to at least three significance digits. N-m
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