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Related Concept Videos

Magnetic Field Of A Current Loop01:16

Magnetic Field Of A Current 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.
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Torque On A Current Loop In A Magnetic Field01:13

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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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Force On A Current Loop In A Magnetic Field01:17

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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,...
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Magnetic Force Between Two Parallel Currents01:13

Magnetic Force Between Two Parallel Currents

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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...
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Magnetic Force On Current-Carrying Wires: Example01:22

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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.
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Magnetic Force On A Current-Carrying Conductor01:25

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Moving charges experience a force in a magnetic field. Since the magnetic fields produced by moving charges are proportional to the current, a conductor carrying a current creates a magnetic field around it.
Consider a compass placed near a current-carrying wire. The wire experiences a force that aligns the needle of the compass tangentially around the wire. Thus, the current-carrying wire produces concentric circular loops of magnetic field. The magnetic field generated by a wire can be...
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Updated: Aug 26, 2025

Optimized Setup and Protocol for Magnetic Domain Imaging with In Situ Hysteresis Measurement
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Optimized Setup and Protocol for Magnetic Domain Imaging with In Situ Hysteresis Measurement

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A Current Loop Model for the Fast Simulation of Ferrofluids.

Han Shao, Libo Huang, Dominik L Michels

    IEEE Transactions on Visualization and Computer Graphics
    |October 3, 2022
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    Summary
    This summary is machine-generated.

    Researchers developed a new current loop magnetic force model for faster, more stable ferrofluid simulations. This model overcomes limitations of previous methods, enabling advanced simulations in fields like optics and medicine.

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    Area of Science:

    • Magnetohydrodynamics
    • Computational fluid dynamics

    Background:

    • Ferrofluids, magnetic particle suspensions, offer diverse applications in optics, medicine, and engineering.
    • Accurate in silico modeling of ferrofluids is crucial for exploring new applications.
    • Existing smoothed-particle hydrodynamics (SPH) simulations are computationally expensive and face levitation issues due to the Kelvin force model.

    Purpose of the Study:

    • To propose a novel magnetic force model for efficient macroscopic ferrofluid simulation.
    • To overcome the limitations of the Kelvin force model in SPH simulations.
    • To enable stable and fast simulations using advanced SPH frameworks like DFSPH and IISPH.

    Main Methods:

    • Developed a current loop magnetic force model.
    • Applied the new model within smoothed-particle hydrodynamics (SPH) frameworks.
    • Utilized divergence-free SPH (DFSPH) and implicit incompressible SPH (IISPH) for simulations.

    Main Results:

    • The proposed current loop model generates an inward force, unlike the outward force of the Kelvin model.
    • This inward force significantly improves simulation stability and reduces levitation problems.
    • Enabled faster and more stable macroscopic simulations of ferrofluids.

    Conclusions:

    • The current loop magnetic force model is a significant advancement for ferrofluid simulation.
    • This new model facilitates the use of efficient SPH methods for ferrofluid research.
    • Opens possibilities for more complex and accurate in silico studies of ferrofluids.