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Eddy Currents01:25

Eddy Currents

1.6K
Since eddy currents occur only in conductors, magnets can separate metals from other materials. For example, in a recycling center, trash is dumped in batches down a ramp, beneath which lies a powerful magnet. Conductors in the trash are slowed by eddy currents, while nonmetals in the trash move on, separating from the metals. This works for all metals, not just ferromagnetic ones.
Other major applications of eddy currents appear in metal detectors and the braking systems of trains and roller...
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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

Torque On A Current Loop In A Magnetic Field

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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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Divergence and Curl of Magnetic Field01:26

Divergence and Curl of Magnetic Field

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The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:
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Magnetic Field Due To A Thin Straight Wire01:28

Magnetic Field Due To A Thin Straight Wire

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Consider an infinitely long straight wire carrying a current I. The magnetic field at point P at a distance a from the origin can be calculated using the Biot-Savart law.
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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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Related Experiment Video

Updated: Jul 26, 2025

Quantifying the Relative Thickness of Conductive Ferromagnetic Materials Using Detector Coil-Based Pulsed Eddy Current Sensors
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Quantifying the Relative Thickness of Conductive Ferromagnetic Materials Using Detector Coil-Based Pulsed Eddy Current Sensors

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Transient eddy current analysis for a spiral gradient pulse.

Sadeq S Alsharafi1, Haile Baye Kassahun1, Ahmed M Badawi1

  • 1Systems and Biomedical Engineering, Faculty of Engineering, Cairo University, Cairo, Egypt.

Journal of Magnetic Resonance (San Diego, Calif. : 1997)
|June 14, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces a computational framework to accurately simulate eddy currents in MRI machines using spiral gradient waveforms. The method validates well against existing tools, offering efficient and precise analysis for faster MRI acquisition.

Keywords:
Eddy currentsGradient CoilsMagnetic Resonance ImagingSpiral Gradient PulseStream FunctionsTransient Analysis

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Area of Science:

  • Medical Physics
  • Electromagnetism
  • Computational Science

Background:

  • Eddy currents are induced in MRI metallic components by rapidly switching gradient fields.
  • These currents cause undesirable effects like heat, acoustic noise, and MR image distortions.
  • Accurate computation of transient eddy currents is crucial for mitigating these issues.

Purpose of the Study:

  • To develop and present a comprehensive computational framework for transient eddy currents induced by spiral gradient waveforms in MRI.
  • To address limitations in previous research that primarily focused on trapezoidal waveforms.
  • To enable accurate prediction and amelioration of eddy current effects in fast MRI acquisition.

Main Methods:

  • Derived a mathematical model for transient eddy currents specifically for spiral gradient waveforms using circuit equations.
  • Implemented computations using a tailored multilayer integral method (TMIM).
  • Validated TMIM results against Ansys eddy current analysis for both unshielded and shielded transverse coils.

Main Results:

  • Achieved high agreement between TMIM and Ansys for transient eddy current computations induced by spiral waveforms.
  • Demonstrated high computational efficiency (time and memory) of the TMIM framework.
  • Showcased the reduction of eddy current effects when using a shielded transverse coil.

Conclusions:

  • The developed TMIM provides an accurate and efficient computational framework for analyzing eddy currents induced by spiral gradient waveforms.
  • This framework is valuable for improving fast MRI acquisition techniques by predicting and mitigating associated distortions.
  • The study confirms the effectiveness of shielding in reducing detrimental eddy current effects.