The ubiquitous conventional graphic for a magnetic field through and around a cylindrical coil shows equidistant parallel lines through the central zone which it proclaims is a uniform magnetic field.
We know that field strength fades proportionally to distance from a conductor therefore the graphic field lines should show this but they don’t. The field shown is partially uniform since the lines are parallel, but the force on a charge particle diagonally transversing a gap between two aligned opposite pole coils is initially zero, then rises in the middle, then falls back to zero as it approaches the other side. It is near hyperbolic.
Science uses the same word ‘uniform’ to describe the magnetic field across a small gap between two aligned opposite pole magnets or cored solenoids. This one is true uniform as it exerts a uniform force on a charge particle transversing the gap which a cloud or bubble chamber show as helical.
This seemingly trivial 'uniform’ error, which somehow escaped notice from academia for over a century, has been seriously detrimental to analysis of magnetism.