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RDBaker

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Along the center of a very long solenoid tube the field strength is constant. At the ends of the tube, however, the field decays and drops off.

Is there a simple way (mathematical solution or simple trick) to make the field perfectly constant (or to a fraction of a percent tolerance) throughout the whole volume of the solenoid?

I have two ideas to solve this problem:

[1] Add extra layers of wires at the ends.

This should work but adds more wire, increasing the power requirement. I also haven't modeled this one yet.

[2] Vary the radius of the tube from the central axis.

When I model a solenoid with an convex parabolic contour (a guess) I get some pretty good results for about 83 percent of the tube.

I'm working on a more rigorous mathematical way to derive the optimal solenoid shape. Any thoughts would be much appreciated.

Is there a simple way (mathematical solution or simple trick) to make the field perfectly constant (or to a fraction of a percent tolerance) throughout the whole volume of the solenoid?

I have two ideas to solve this problem:

[1] Add extra layers of wires at the ends.

This should work but adds more wire, increasing the power requirement. I also haven't modeled this one yet.

[2] Vary the radius of the tube from the central axis.

When I model a solenoid with an convex parabolic contour (a guess) I get some pretty good results for about 83 percent of the tube.

I'm working on a more rigorous mathematical way to derive the optimal solenoid shape. Any thoughts would be much appreciated.

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