Can a Charge in a Wire Move in a Circle Due to Lorentz Force?

[Daulet]

There is a frame that circles around a point because of the Lorentz force. Frame is placed between North and South magnets and there is s current flowing in a frame. My question is - can a charge in a wire move in a circle - for instance clockwise? I mean, if the square frame turns, then the direction of the force and of the magnetic field changes then can a single particle flowing through the wire move in a circle?

 

[mfb]

Single particles within wires are not a useful concept.
It depends on the way your frame moves through the magnetic field.