Does Stacking Coils Create a "Cancellation Field"?

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SUMMARY

Stacking two coils with opposite identical currents and windings results in the cancellation of the external magnetic field while maintaining the internal field identical to a single coil configuration. This phenomenon is confirmed through basic curve integration and the superposition principle. The configuration does not have a widely recognized name, indicating a gap in terminology within the field of electromagnetism.

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  • Understanding of electromagnetic theory
  • Familiarity with coil winding techniques
  • Knowledge of magnetic field superposition
  • Basic calculus for curve integration
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Electrical engineers, physicists, and students studying electromagnetism or coil design will benefit from this discussion.

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Some basic curve integration leads me to the believe, that if you stack two coils into one another with opposite identical currents and windings, their outside field cancels while the inside field is identical to the configuration without the outer coil. Is this correct and does this configuration have a name?
 
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Ok I think I was wrong. My integrals were only fixed up to an offset, and the superposition principle proves me wrong...
 
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