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- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_II_(2212)/13%3A_Atomic_Structure/13.02%3A_Orbital_Magnetic_Dipole_Moment_of_the_ElectronNotice that the direction of the magnetic moment of the electron is antiparallel to the orbital angular momentum, as shown in Figure \(\PageIndex{1b}\). In the Bohr model of the atom, the relations...Notice that the direction of the magnetic moment of the electron is antiparallel to the orbital angular momentum, as shown in Figure \(\PageIndex{1b}\). In the Bohr model of the atom, the relationship between \(\vec{\mu}\) and \(\vec{L}\) in Equation \ref{BIG} is independent of the radius of the orbit.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_II_(2212)/07%3A_Sources_of_Magnetism_Magnetic_Forces_and_Fields/7.07%3A_Force_and_Torque_on_a_Current_LoopA circular current loop of radius 2.0 cm carries a current of 2.0 mA. (a) What is the magnitude of its magnetic dipole moment? (b) If the dipole is oriented at 30 degrees to a uniform magnetic field o...A circular current loop of radius 2.0 cm carries a current of 2.0 mA. (a) What is the magnitude of its magnetic dipole moment? (b) If the dipole is oriented at 30 degrees to a uniform magnetic field of magnitude 0.50 T, what is the magnitude of the torque it experiences and what is its potential energy?
- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/University_Physics_III_-_Optics_and_Modern_Physics_(OpenStax)/08%3A_Atomic_Structure/8.03%3A_Orbital_Magnetic_Dipole_Moment_of_the_ElectronA hydrogen atom has magnetic properties because the motion of the electron acts as a current loop. The energy levels of a hydrogen atom associated with orbital angular momentum are split by an externa...A hydrogen atom has magnetic properties because the motion of the electron acts as a current loop. The energy levels of a hydrogen atom associated with orbital angular momentum are split by an external magnetic field because the orbital angular magnetic moment interacts with the field. The potential energy of the hydrogen atom associated with this magnetic interaction is given by \(U = -\vec{\mu} \cdot \vec{B}\).
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Book%3A_Applications_of_Maxwells_Equations_(Cochran_and_Heinrich)/07%3A_Time_Dependent_Electromagnetic_Fields./7.05%3A_A_Point_Magnetic_Dipole\[\text{B}_{\theta}=\frac{\mu_{0}}{4 \pi} \sin \theta\left[\frac{\text{m}_{z}}{\text{R}^{3}}+\frac{\dot{\text{m}}_{z}}{\text{c} \text{R}^{2}}+\frac{\ddot{\text{m}}_{z}}{\text{c}^{2} \text{R}}\right]_{...\[\text{B}_{\theta}=\frac{\mu_{0}}{4 \pi} \sin \theta\left[\frac{\text{m}_{z}}{\text{R}^{3}}+\frac{\dot{\text{m}}_{z}}{\text{c} \text{R}^{2}}+\frac{\ddot{\text{m}}_{z}}{\text{c}^{2} \text{R}}\right]_{\text{t}_{\text{R}}}, \nonumber \] both evaluated at the retarded time t R . Just as for the electric dipole far fields \(|\vec{\text{E}}|=\text{c}|\vec{\text{B}}|\), and \(\vec E\) and \(\vec B\) are orthogonal to each other and to the line joining the position of the observer to the dipole.
- https://phys.libretexts.org/Courses/Kettering_University/Electricity_and_Magnetism_with_Applications_to_Amateur_Radio_and_Wireless_Technology/18%3A_Calculation_of_Magnetic_Quantities_from_Currents/18.07%3A_(edit)_Magnetic_Force_and_Torque_on_a_Current_Loop_-_Motors_and_MetersMotors are the most common application of magnetic force on current-carrying wires. Motors contain loops of wire in a magnetic field. When current is passed through the loops, the magnetic field exert...Motors are the most common application of magnetic force on current-carrying wires. Motors contain loops of wire in a magnetic field. When current is passed through the loops, the magnetic field exerts torque on the loops, which rotates a shaft. Electrical energy is converted into mechanical work in the process.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Introductory_Physics_II_(1112)/zz%3A_Back_Matter/10%3A_13.1%3A_Appendix_J-_Physics_Formulas_(Wevers)/1.02%3A_Electricity_and_MagnetismElectricity and magnetism from statics to electromagnetic fields as described by Maxwell's equations
- https://phys.libretexts.org/Courses/Bowdoin_College/Phys1140%3A_Introductory_Physics_II%3A_Part_1/06%3A_Magnetic_Fields/6.04%3A_Force_and_Torque_on_a_Current_LoopMotors are the most common application of magnetic force on current-carrying wires. Motors contain loops of wire in a magnetic field. When current is passed through the loops, the magnetic field exert...Motors are the most common application of magnetic force on current-carrying wires. Motors contain loops of wire in a magnetic field. When current is passed through the loops, the magnetic field exerts torque on the loops, which rotates a shaft. Electrical energy is converted into mechanical work in the process.
- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/University_Physics_II_-_Thermodynamics_Electricity_and_Magnetism_(OpenStax)/11%3A_Magnetic_Forces_and_Fields/11.06%3A_Force_and_Torque_on_a_Current_LoopMotors are the most common application of magnetic force on current-carrying wires. Motors contain loops of wire in a magnetic field. When current is passed through the loops, the magnetic field exert...Motors are the most common application of magnetic force on current-carrying wires. Motors contain loops of wire in a magnetic field. When current is passed through the loops, the magnetic field exerts torque on the loops, which rotates a shaft. Electrical energy is converted into mechanical work in the process.
- https://phys.libretexts.org/Courses/Muhlenberg_College/Physics_122%3A_General_Physics_II_(Collett)/07%3A_Magnetic_Forces_and_Fields/7.06%3A_Force_and_Torque_on_a_Current_LoopMotors are the most common application of magnetic force on current-carrying wires. Motors contain loops of wire in a magnetic field. When current is passed through the loops, the magnetic field exert...Motors are the most common application of magnetic force on current-carrying wires. Motors contain loops of wire in a magnetic field. When current is passed through the loops, the magnetic field exerts torque on the loops, which rotates a shaft. Electrical energy is converted into mechanical work in the process.
- https://phys.libretexts.org/Learning_Objects/A_Physics_Formulary/Physics/02%3A_Electricity_and_MagnetismElectricity and magnetism from statics to electromagnetic fields as described by Maxwell's equations
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Essential_Graduate_Physics_-_Classical_Electrodynamics_(Likharev)/05%3A_Magnetism/5.04%3A_Magnetic_Dipole_Moment_and_Magnetic_Dipole_Media47 Let me remind the reader once again that in contrast with the system (36) of the Maxwell equations for the genuine (microscopic) fields, the right-hand sides of Eqs. (109) represent only the stand-...47 Let me remind the reader once again that in contrast with the system (36) of the Maxwell equations for the genuine (microscopic) fields, the right-hand sides of Eqs. (109) represent only the stand-alone charges and currents, not included in the microscopic electric and magnetic dipoles.
