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Related Concept Videos

Torque On A Current Loop In A Magnetic Field01:13

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...
Gradient Fields01:27

Gradient Fields

A gradient field is a vector field derived from a scalar field. A scalar field assigns a single numerical value to every point in space, such as temperature, pressure, or electric potential. The gradient field describes how that value changes from point to point. It gives both the direction of the fastest increase and the rate of change in that direction.For a scalar field f(x, y), the gradient is written as\begin{equation*}\nabla f=\left\langle \jfrac{\partial f}{\partial x},\jfrac{\partial...
Toroids01:27

Toroids

A toroid is a closely wound donut-shaped coil constructed using a single conducting wire. In general, it is assumed that a toriod consists of multiple circular loops perpendicular to its axis.
When connected to a supply, the magnetic field generated in the toroid has field lines circular and concentric to its axis. Conventionally, the direction of this magnetic field is expressed using the right-hand rule. If the fingers of the right hand curl in the current direction, the thumb points in the...
Magnetic Field Of A Current Loop01:16

Magnetic Field Of A Current Loop

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.
Divergence and Curl of Magnetic Field01:26

Divergence and Curl of Magnetic Field

The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:
Magnetic Field Due To A Thin Straight Wire01:27

Magnetic Field Due To A Thin Straight Wire

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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MRM Microcoil Performance Calibration and Usage Demonstrated on Medicago truncatula Roots at 22 T
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3D Gradient coil design - toroidal surfaces.

Peter T While1, Larry K Forbes, Stuart Crozier

  • 1School of Mathematics & Physics, University of Tasmania, Private Bag 37, Hobart, Tasmania 7001, Australia. pwhile@utas.edu.au

Journal of Magnetic Resonance (San Diego, Calif. : 1997)
|February 14, 2009
PubMed
Summary
This summary is machine-generated.

This study introduces a novel analytic inverse method for designing toroidal gradient coils, optimizing current densities for improved magnetic field homogeneity and reduced power consumption in MRI systems.

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Area of Science:

  • Magnetic Resonance Imaging (MRI) Physics
  • Electrical Engineering
  • Coil Design

Background:

  • Traditional gradient coil designs utilize cylindrical, planar, spherical, or conical surfaces.
  • Optimization of current densities or coil windings is standard practice.

Purpose of the Study:

  • To present an analytic inverse method for the theoretical design of toroidal transverse gradient coils.
  • To explore a novel coil geometry for improved MRI performance.

Main Methods:

  • An analytic inverse method is employed to design toroidal transverse gradient coils.
  • Regularization techniques are used to solve for toroidal current densities, minimizing field error and coil power.
  • The method is applied to unshielded and shielded, whole-body and head coil systems.

Main Results:

  • Preliminary coil winding designs demonstrate high gradient homogeneity and efficiency.
  • Designs exhibit low inductance and good force balancing.
  • The toroidal geometry offers potential benefits like self-shielding and reduced acoustic noise.

Conclusions:

  • The analytic inverse method provides a viable approach for designing toroidal gradient coils.
  • This novel geometry offers significant advantages for MRI systems, including enhanced performance and patient comfort.
  • Potential benefits include improved cooling access, reduced noise, and lessened patient claustrophobia.