Question: A wire carrying a current is placed in a uniform magnetic field. Which of the following statements accurately describe the motion of the wire and the forces acting on it?

A) The wire will experience a force and move in the direction opposite to the magnetic field.

B) The wire will experience a force and move in the direction parallel to the magnetic field.

C) The wire will not experience any force and will remain stationary.

D) The wire will experience a force, but its direction of motion cannot be determined without additional information.

Answer: D) The wire will experience a force, but its direction of motion cannot be determined without additional information.

Explanation: When a current-carrying wire is placed in a magnetic field, a force is exerted on the wire due to the interaction between the magnetic field and the current. The direction of this force can be determined using the right-hand rule.

The right-hand rule for a straight conductor is as follows:

• If the thumb, forefinger, and second finger of the right hand are held mutually perpendicular to each other such that the forefinger points in the direction of the magnetic field and the second finger points in the direction of the current, then the thumb points in the direction of the force experienced by the wire.

The magnitude of the force experienced by the wire can be calculated using the formula: [ F = BIL ] where F is the force, B is the magnetic field strength, I is the current, and L is the length of the wire within the magnetic field.

However, the direction of motion of the wire cannot be determined without additional information. To determine the direction of motion, one would need to know the orientation of the wire with respect to the magnetic field and the external factors that may influence the motion (e.g., presence of other forces or constraints on the wire).

Therefore, option D is the correct answer as the direction of the wire's motion cannot be determined solely based on the given information.