This problem tests magnetism and current-carrying wires. The wire carries current along +x (to the right), and the magnetic field points into the page (-z direction). Using the right-hand rule: point fingers right (+x), curl them into the page (-z), and the thumb points upward (+y). The force is in the +y direction. Choice B incorrectly suggests the force is into the page, confusing the field direction with the force direction. Always apply the right-hand rule systematically to find the force as the cross product of current and field.

This problem tests magnetism and current-carrying wires. The wire carries current in the +x direction (to the right), and the magnetic field points in the +y direction. To find the force direction, we use the right-hand rule: point fingers in the direction of current (+x), curl them toward the magnetic field (+y), and the thumb points in the force direction. Following this rule, the force points in the +z direction (out of the page). Choice C incorrectly suggests the force is in the -x direction, which represents the misconception that the force opposes the current direction. Remember to always use the right-hand rule systematically: current direction first, then curl toward the field.

This problem tests magnetism and current-carrying wires. Wire A carries current upward while wire B carries current downward, making them antiparallel currents. When parallel wires carry currents in opposite directions, they repel each other. This occurs because wire A's magnetic field at wire B's location creates a force pushing B away, and vice versa. Choice B incorrectly states they attract because opposite currents attract, which confuses magnetic forces with electric charges. Remember the rule: parallel currents in the same direction attract, while antiparallel currents repel.

This problem tests magnetism and current-carrying wires. A vertical wire with downward current in a magnetic field out of the page experiences a force found by the right-hand rule: point fingers down (current) and curl them out of the page (field) - your thumb points left, indicating the force direction. The force is perpendicular to both the current and magnetic field, following F = IL × B. The downward current interacts with the outward field to produce a leftward force. Choice A reverses the force direction, a common error when confusing the right-hand rule steps. Practice the right-hand rule with clear finger positions: straight fingers for current, curl for field, thumb for force.

This problem tests understanding of magnetism and current-carrying wires. When current and magnetic field are parallel (both to the right), the magnetic force on the wire is zero because F = IL × B involves the cross product of parallel vectors. The force magnitude is proportional to sin(θ) where θ is the angle between current and field - when θ = 0° (parallel), sin(0°) = 0, so no force exists. Choice B incorrectly applies the right-hand rule to parallel vectors, not recognizing that no perpendicular force can result from parallel current and field. Check the angle between current and field first - if parallel or antiparallel, the magnetic force is always zero.

This problem tests understanding of magnetism and current-carrying wires. When current flows into the page through a rightward-pointing magnetic field, we find the force using the right-hand rule. Point your fingers into the page (current direction) and curl them to the right (field direction) - your thumb points downward on the page. Choice D incorrectly suggests the force follows the magnetic field direction, demonstrating the misconception that forces align with fields rather than being perpendicular. Remember to visualize the three-dimensional nature of the problem and apply the right-hand rule carefully to find the perpendicular force direction.

This problem tests understanding of magnetism and current-carrying wires. With current flowing left and magnetic field into the page, we apply the right-hand rule to find the force direction. Point your fingers to the left (current direction) and curl them into the page (field direction) - your thumb points downward on the page, indicating the force direction. Choice D incorrectly assumes the force follows the field direction into the page, demonstrating confusion about the perpendicular nature of magnetic forces. Always use the right-hand rule systematically: the magnetic force is perpendicular to both current and field directions.

This problem tests magnetism and current-carrying wires. Two parallel wires carry currents in the same direction (both 5.0 A upward), creating magnetic fields that interact. The right-hand rule shows that wire 1 creates a magnetic field circling it, which at wire 2's location points perpendicular to wire 2. Applying the force rule to wire 2 in wire 1's field shows the force points toward wire 1. By Newton's third law, parallel currents attract each other. Choice A (repel) reflects the misconception that like currents repel, confusing this with electric charges. Remember: parallel currents in the same direction always attract, while antiparallel currents repel.

This problem tests magnetism and current-carrying wires. Parallel wires carrying currents in the same direction attract each other due to the magnetic interaction between them. Each wire creates a circular magnetic field, and when both currents flow upward, the field from one wire at the location of the other creates an attractive force. This follows from the fundamental principle that parallel currents attract while antiparallel currents repel. Choice A incorrectly reverses this rule, possibly confusing same-direction currents with opposite-direction currents. Remember this key principle: like currents attract, unlike currents repel - opposite to electric charges.

This problem tests magnetism and current-carrying wires. The wire carries current upward while the magnetic field points out of the page. Using the right-hand rule for F = IL × B, point your fingers upward (current) and curl them toward out-of-page (field direction); your thumb points to the right. The force is perpendicular to both current and field. Choice C (out of page) shows the error of thinking force aligns with the field, missing that magnetic force is always perpendicular to B. When solving, visualize the three-dimensional geometry and remember that current, field, and force form a right-handed coordinate system.