Right-Hand Rule #1 determines the directions of magnetic force, conventional current and the magnetic field. Given any two of theses, the third can be found. Using your right-hand: point your index finger in the direction of the charge's velocity, v, (recall conventional current).
Wires are coiled, the individual field lines come together which strengthens the overall magnetic field. Right-hand rule for a coil is different from a straight conductor, when determining the direction of the electromagnetic force from the current. The process used to predict the relationship between the direction of conventional flow in a coil and the direction of the magnetic field is known as the Right-Hand Rule #2.
If a current-carrying conductor is placed perpendicular to the magnetic field of a magnet, there will be a force acting on the conductor.