

No. The right hand rule is used universally to find the direction of the magnetic field created by current flowing in a particular direction. There is nothing like circular currents. Current can be characterised by the only fact that they have a particular direction.
The right hand rule states that, to find the direction of the magnetic force on a positive moving charge, the thumb of the right hand point in the direction of v, the fingers in the direction of B, and the force (F) is directed perpendicular to the right hand palm.
The direction of the force F on a negative charge is in the opposite sense to that above (so pointed away from the back of your hand).
