Cancel magnetic field in one current carring wire

[Thinking123]

Can anyone suggest the best way to shape a single wire carring a
current so that it's magnetic field cancels itself out? Completely if
possible. I'm trying to optimize the idea for light weight and varying
current values. All I can think of would be to bunch the wire into a
tight zig-zag plane. (From:---------- To:||||||||) Would that work? Or
would it produce the same field...and just be heavy? Any help would be
great, thanks.

 

[Thinking123]

You're right, I meant to mention that it had to be between two points.
Chasing a rainbow then. Are you sure? What if I wrapped it in a coil
for half the distance, then wrapped it in the opposite direction for
the other half? Like magnet/solinoid wraps. I just thought of it, but
that would change the direction of the field and cancel out right? Or
would that be the same as the zigzag? (This is for a math model that I
gave up on a while ago when I realized that I would have to create and
destroy electrons to have a single current between 2 points in a closed
system. Now this is another idea how to make it realistic...unless it's
impossible. Just trying to think and get knowledgable feedback. )

 

[Thinking123]

Alright, if you're still following this, maybe you can think of a way
to make this work: Just think of an x-y plane where the magnetic field
is in the z direction. There are two battteries, DC generators,
whatever at two points. Say (0,0) and (10,0). If two wires are
connected between the two sources, there would be a current in both
wires. Both would generate a magnetic field and cancel out. Can you
think of a way to shape one of the wires so that it would not effect
the forces on the whole system? So that it would not produce a net
force in any direction and only the one wire (along the x-axis) would
be in the math model? (eg. I think a tall triangle would make the
effects in the y direction negligable, but then it would produce a
large effect in the +- x direction...) Any ideas? Impossible?