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Torque On A Current Loop In A Magnetic Field

Torque On A Current Loop In A Magnetic Field

The most common application of magnetic force on current-carrying wires is in electric motors. These consist of loops of wire, which are placed between the magnets with a magnetic field. When current flows through the loops, the magnetic field applies torque, which causes the shaft to rotate, thus converting electrical energy to mechanical energy.
Consider a rectangular current-carrying loop containing N turns of wire, placed in a uniform magnetic field. The net force on a current-carrying loop...

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Consider a circular loop with a radius a, that carries a current I. The magnetic field due to the current at an arbitrary point P along the axis of the loop can be calculated using the Biot-Savart law.

Force On A Current Loop In A Magnetic Field

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Magnetic forces on wires carrying current are most frequently applied in motors. A DC motor is a device that converts electrical energy into mechanical work. In motors, wire loops are enclosed in a magnetic field. When current flows through the loops, the magnetic field applies torque, which causes the shaft to rotate. The direction of the current is reversed once the loop's surface area is lined up with the magnetic field, causing a constant torque on the loop. During the process, commutators...

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Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs in the direction of the magnetic field. However, the dipoles align opposite to the field in the case of diamagnets. This state of magnetic polarization due to the external field is called magnetization. Magnetization is defined as the dipole moment per unit volume. It plays a similar role to polarization in electrostatics.
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Related Experiment Video

Updated: May 20, 2026

Spectral and Angle-Resolved Magneto-Optical Characterization of Photonic Nanostructures

Spectral and Angle-Resolved Magneto-Optical Characterization of Photonic Nanostructures

Published on: November 21, 2019

Nodal-Loop Engineering of the Second-Order Magneto-Optical Effect in Two-Dimensional Topological Altermagnets.

Xiangju Wang¹, Ping Yang², Gui-Bin Liu¹

¹Key Lab of Advanced Optoelectronic Quantum Architecture and Measurement (MOE), Beijing Key Laboratory of Quantum Matter State Control and Ultra-Precision Measurement Technology, School of Physics, Beijing Institute of Technology, Beijing 100081, China.

|May 18, 2026

Summary

Engineers have enhanced magneto-optical effects (MOEs) in 2D topological altermagnets by engineering nodal loops. This breakthrough enables tunable infrared-to-terahertz responses for advanced opto-spintronic devices.

Keywords:

first-principles calculations magneto-optical effects nodal loops topological altermagnets

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Last Updated: May 20, 2026

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Fabrication of Magnetic Nanostructures on Silicon Nitride Membranes for Magnetic Vortex Studies Using Transmission Microscopy Techniques

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Published on: July 2, 2018

Area of Science:

Condensed Matter Physics
Materials Science
Photonics

Background:

Magneto-optical effects (MOEs) are crucial for probing magnetic order and developing photonic/information technologies.
Achieving large and controllable second-order MOEs is a significant challenge in materials science.

Purpose of the Study:

To explore nodal-loop engineering as a strategy for enhancing and tuning second-order MOEs.
To investigate the potential of two-dimensional topological altermagnets for novel opto-spintronic applications.

Main Methods:

Utilized two-dimensional topological altermagnet V2Te2O as a model system.
Investigated the impact of Néel-vector rotation on nodal loops and interband transitions.
Analyzed the role of carrier doping in tuning magneto-optical responses across infrared-to-terahertz frequencies.

Main Results:

Nodal-loop engineering effectively enhanced and tuned second-order MOEs in the infrared-to-terahertz range.
Néel-vector rotation selectively gapped nodal loops, activating spin-conserved transitions for a pronounced infrared response.
Terahertz response was dominated by anisotropic intraband dynamics, with carrier doping enabling tunability and sign reversal.

Conclusions:

Nodal-loop engineering is a promising strategy for developing large and tunable second-order MOEs in 2D topological altermagnets.
The findings highlight potential for ultrafast, low-power opto-spintronic applications.
This research opens new avenues for materials design in spintronics and photonics.