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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...

Magnetic Force Between Two Parallel Currents

Magnetic Force Between Two Parallel Currents

Two long, straight, and parallel current-carrying conductors exert a force of equal magnitude on one another. The direction of the force depends on the current direction in the conductors.
The force exerted by the magnetic field due to the first conductor over a finite length of the second conductor is given as the product of the current in the second conductor and the vector product of the length vector along the current element and the field due to the first conductor. According to the...

Ferromagnetism

Ferromagnetism

Materials like iron, nickel, and cobalt consist of magnetic domains, within which the magnetic dipoles are arranged parallel to each other. The magnetic dipoles are rigidly aligned in the same direction within a domain by quantum mechanical coupling among the atoms. This coupling is so strong that even thermal agitation at room temperature cannot break it. The result is that each domain has a net dipole moment. However, some materials have weaker coupling, and are ferromagnetic at lower...

Net Torque Calculations

Net Torque Calculations

When a mechanic tries to remove a hex nut with a wrench, it is easier if the force is applied at the farthest end of the wrench handle. The lever arm is the distance from the pivot point (the hex nut in this case) to the person’s hand. If this distance is large, the torque is higher. Only the component of the force perpendicular to the lever arm contributes to the torque. Therefore, pushing the wrench perpendicular to the lever arm is more advantageous. If multiple people apply force to...

Magnetic Force On Current-Carrying Wires: Example

Magnetic Force On Current-Carrying Wires: Example

In a magnetic field, moving charges encounter a force. If a wire contains these moving charges, i.e., if the wire is carrying a current, then a force acts on the wire as well. Consider a pair of flexible leads holding a wire that is 40 cm long and 10 g in weight in a horizontal position. The wire is placed in a constant magnetic field of 0.40 T, as shown in Figure 1(a). Determine the magnitude and direction of the current flowing in the wire needed to remove the tension in the supporting leads.

Magnetostatic Boundary Conditions

Magnetostatic Boundary Conditions

An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...

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Related Experiment Video

Updated: Dec 25, 2025

Magnetic Tweezers for the Measurement of Twist and Torque

Magnetic Tweezers for the Measurement of Twist and Torque

Published on: May 19, 2014

Casimir torque and force in anisotropic saturated ferrite three-layer structure.

Ran Zeng, Chi Wang, Xiaodong Zeng

|April 1, 2020

Summary

Researchers calculated Casimir energy in anisotropic multilayer systems. They demonstrated magnetic field control of Casimir forces and proposed a tunable Casimir torque switch for potential applications in micromachining.

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Last Updated: Dec 25, 2025

Magnetic Tweezers for the Measurement of Twist and Torque

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Published on: May 19, 2014

Visualizing Uniaxial-strain Manipulation of Antiferromagnetic Domains in Fe1+YTe Using a Spin-polarized Scanning Tunneling Microscope

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Optimizing Magnetic Force Microscopy Resolution and Sensitivity to Visualize Nanoscale Magnetic Domains

Optimizing Magnetic Force Microscopy Resolution and Sensitivity to Visualize Nanoscale Magnetic Domains

Published on: July 20, 2022

Area of Science:

Condensed matter physics
Quantum field theory

Background:

The Casimir effect describes a physical force arising from quantum field fluctuations.
Anisotropic materials and multilayer systems present unique challenges for Casimir force calculations.

Purpose of the Study:

To calculate Casimir energy in multilayer systems with general anisotropic media.
To investigate Casimir force-induced equilibrium in anisotropic saturated ferrite structures.
To propose and analyze a tunable Casimir torque switch.

Main Methods:

Scattering formalism
Transfer matrix method
Analysis of anisotropic saturated ferrite three-layer structures

Main Results:

Calculated Casimir energy for anisotropic multilayer systems.
Demonstrated stable equilibrium controlled by external magnetic fields.
Proposed a Casimir torque switch with on/off states tunable by magnetic field orientation.
Studied the dependence of torque switching on ferrite anisotropy.

Conclusions:

External magnetic fields can control Casimir forces and equilibrium positions in anisotropic ferrite systems.
A Casimir torque switch can be realized by manipulating magnetic fields.
Findings suggest applications in micro- and nanotechnologies, such as magnetic field-controlled cooling.