Final answer:
The right-hand rule determines the magnetic force direction on a positive charge moving in a magnetic field: point your thumb in the direction of the charge's velocity and your fingers in the direction of the field, and your palm points to the force direction.
Step-by-step explanation:
The direction of the magnetic force on a positive charge moving in a magnetic field can be determined using the right-hand rule. This rule states that if you point your right-hand thumb in the direction of the velocity (v) of the positive charge and your fingers in the direction of the magnetic field (B), then the direction your palm faces is the direction of the magnetic force exerted on the charge. If a magnetic field is perpendicular to the velocity of a positive charge, the force will be at a right angle to both the field and the direction of motion.
For a positive charge: If the charge moves to the north and the magnetic field direction is down, the force would be to the west. If the charge moves to the east and the field is down, the force would be to the south. Figure 22.47 and Figure 22.56 might show charges moving in other directions, and the magnetic force can be similarly deduced with the application of the right-hand rule.
Similarly, when a current moves through a wire in the presence of the Earth's magnetic field, which has a horizontal component pointing north and a vertical component pointing down, we can use the right-hand rule to determine the direction of the magnetic force felt by the wire.