Does Stacking Coils Create a "Cancellation Field"?

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Stacking two coils with opposite identical currents and windings cancels the outside magnetic field while maintaining the inside field, resembling a single coil configuration. However, the initial conclusion was incorrect due to an oversight in the integral calculations, as the superposition principle applies. The user seeks to understand how to delete their own forum threads. This discussion highlights the importance of careful mathematical analysis in electromagnetic theory. The topic underscores the complexity of magnetic field interactions in coil configurations.
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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...
 
How do I delete my own threads?
 
Thread 'What is the pressure of trapped air inside this tube?'

Thread 'What is the pressure of trapped air inside this tube?'

As you can see from the picture, i have an uneven U-shaped tube, sealed at the short end. I fill the tube with water and i seal it. So the short side is filled with water and the long side ends up containg water and trapped air. Now the tube is sealed on both sides and i turn it in such a way that the traped air moves at the short side. Are my claims about pressure in senarios A & B correct? What is the pressure for all points in senario C? (My question is basically coming from watching...
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