Applications of the Helmholtz Coil: Shielding and Stabilizing Fields

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SUMMARY

The Helmholtz coil setup is utilized to create a highly uniform magnetic field, essential for applications in magnetic resonance, particularly in Electron Paramagnetic Resonance (EPR) and Nuclear Magnetic Resonance (NMR). Adding a third coil, known as a Maxwell coil, enhances field stability and uniformity by reducing field variance significantly. This configuration is crucial for ensuring that samples experience consistent resonance conditions, which is vital for accurate experimental results. The typical diameter for Helmholtz coil poles ranges from 15 cm to 25 cm, with common operational fields around 0.35 T.

PREREQUISITES
  • Understanding of magnetic field principles
  • Familiarity with Helmholtz coil configurations
  • Knowledge of magnetic resonance techniques (EPR and NMR)
  • Basic concepts of electromagnetism
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  • Research the design and applications of Maxwell coils in magnetic field stabilization
  • Explore the mathematical principles behind Helmholtz coil uniformity
  • Investigate the historical development of magnetic resonance techniques
  • Learn about the practical applications of Helmholtz coils in modern scientific experiments
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Students, researchers, and professionals in physics and engineering, particularly those involved in magnetic resonance and electromagnetism applications.

CricK0es
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Homework Statement



Hi,

I've got a presentation on an experiment we did using the Helmholtz coil and I'm starting to run dry on material. As some additional applications I found that you can:

- Use the coil set up to cancel external interference (Shield other experiments? Not sure about that one.)

- Produce a more stable and uniform field when a third coil is added around the outside.

I'm struggling to find anything regarding these that may be worth talking about. Just wondering if anyone has a very brief, qualitative description of how these two effects work. It's just a small presentation so I don't want to delve into the mathematical depths; especially having gone through all the data...

Many thanks

Homework Equations

The Attempt at a Solution

 
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One of the properties of Helmholtz coils (two coils face-to-face, separated by their own diameters, if I remember correctly) is that they produce an extremely uniform field at the midpoint of the line joining their centres. This was invaluable for people doing magnetic resonance, because it meant that a the whole of a sample placed at that point would experience the same field, and therefore the same resonance condition, to very high precision. Electromagnets for EPR, and (in the old days before superconducting magnets) NMR, were designed in that way, with Helmholtz coils wrapped around the pole pieces, and the sample and its associated EM radiation source mounted in the middle of the gap between the poles. (I'm using the past tense, but it may still be common practice.) The poles could be up to about 25 cm in diameter, though 15 cm or so was probably more common. For EPR a common field would be 0.35 T, and, judging by the sharpness of some of the resonance lines, the fields were uniform to a few ppm over as much as a couple of cm.

Not quite what you asked, but perhaps of interest.
 
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Yeah but you gave me something else to throw in xD So thank you
 
Don't know about shielding. Doubt it. But - per wikipedia:
To improve the uniformity of the field in the space inside the coils, additional coils can be added around the outside. James Clerk Maxwell showed in 1873 that a third larger-diameter coil located midway between the two Helmholtz coils can reduce the variance of the field on the axis to zero up to the sixth derivative of position. This is sometimes called a Maxwell coil.
 

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