Final answer:
Using the right-hand rule, if a wire carries current from left to right, to create a zero magnetic field at a point, a second wire introduced must carry the current in the opposite direction, which would be right to left. The right-hand rule helps us visualize magnetic fields as concentric circles around the wire with the thumb pointing in the direction of the current.
Step-by-step explanation:
When determining the direction of the current flowing through a wire in relation to the magnetic field it creates, we use what is known as the right-hand rule. In the scenario where a second wire is introduced and it is required that the total magnetic field at a certain point is zero, the currents must be equal in magnitude but in opposite directions to cancel out the magnetic fields at that point. Considering a straight, current-carrying wire, when using the right-hand rule, your thumb points in the direction of the current, and your fingers show the direction of the field lines, which form concentric circles around the wire.
If the initial wire carries current from left to right and produces a magnetic field with a specified direction (counterclockwise or clockwise), the second wire must carry the current in the opposite direction to ensure the magnetic fields cancel each other out at the given point. Hence, if we assume the first wire has a current flowing from left to right and the field it creates is towards the coordinate where the field must be zero, the second wire must have the current flowing from right to left to create a field pointing in the opposite direction at that coordinate to achieve neutralization.