Calculate Diameter of Quad Coil Array for Speed of Light Rotation

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Discussion Overview

The discussion revolves around calculating the diameter of a quadrature coil array needed to achieve a generated electromagnetic (EM) field that rotates at the speed of light for a specified frequency. Participants explore the implications of this concept, including the nature of rotation in electromagnetic fields and the relationship between frequency and diameter.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant requests a calculation for the diameter of a quadrature coil array that allows its EM field to rotate at the speed of light for a given frequency.
  • Another participant argues that the phrase "rotation at the speed of light" lacks meaning, as rotation is not a speed.
  • Some participants express confusion over the original question, questioning what is meant by "rotation" in this context.
  • A participant suggests that at low frequencies and small radii, the setup could be analogous to a rotating magnet, while at larger radii, the point of maximum magnetic field strength could theoretically reach the speed of light.
  • There is a clarification that the original term "quadrature coils" should be replaced with "stepped coils," prompting further inquiries about the intended application.
  • One participant provides a calculation indicating that for a 2-meter diameter, the frequency required to achieve a rotational effect at the speed of light would be approximately 47.7 MHz.
  • Another participant emphasizes that the frequency of energizing the coils does not necessarily correlate with the diameter of the array, suggesting that the required frequency depends on the desired speed of the field's rotation.
  • Some participants highlight the complexity of the radiation pattern and the potential confusion surrounding the relationship between frequency, diameter, and the nature of the EM field produced.

Areas of Agreement / Disagreement

Participants express multiple competing views regarding the relationship between frequency, diameter, and the concept of rotation in electromagnetic fields. There is no consensus on the interpretation of the original question or the implications of the calculations presented.

Contextual Notes

Participants note that the terminology used may lead to misinterpretation, and there are unresolved questions about the physical meaning of "rotation" in this context. The discussion also touches on the limitations of applying theoretical concepts to practical scenarios involving coil design and energizing rates.

  • #31
Thank you. I see what you are saying. But I think you may be overlooking the effects of a contained field. For example in the case of a cubical array made of square coils. For sinusoidal bipolar signals, there is a reciprocally moving field gradient between coil faces.
 
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  • #32
Fluxation said:
For example in the case of a cubical array made of square coils.
The sides of the coils would share the same physical space, they would be inductively coupled, yet would have quadrature currents.
 
  • #33
Baluncore said:
The sides of the coils would share the same physical space, they would be inductively coupled, yet would have quadrature currents.
Just to mention the radiation mechanism from this structure. Irrespective of any rotating fields, radiation occurs due to the acceleration of the electrons in the wire. As the electrons are accelerated in the circular path of the wire, radiation is maximum in the plane of the coils. In this direction there is only plane polarisation, being the simple addition of the radiation fields from each coil. If the coils are spaced by a significant part of a wavelength and driven with a phase difference then we will see a directional pattern but still in the plane of the coils and plane polarised.
 
  • Informative
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