Concentric conducting cylinders of opposite charges and infinite lengths, concentric conducting tubes, circular electric field inside both tubes, around ampty space. Nonuniform tangential speed of charged particles and distribution of magnetic forces.
Magnetic forces acting on charged particles are orthogonal to the velocity vector.
Magnetic forces are proportional to the strength of the electric current which is proportional to the speed of charged particles and therefore to the intensity of the electric field which is the cause of the current. Yes, magnetic forces are always orthogonal to the electric current vector.