2025 AP Physics 2: Algebra-Based Free-Response Questions

Question 1: Version J 1. Very long Wire 1 carries current I in the +x-direction along the line y = 0. Very long Wire 2 carries current I in the +x-direction along the line y = +d. Point P is located along Wire 1 at the origin, as shown in Figure 1. The diameters of the wires are small compared to the distance between the wires. Both wires are in the xy-plane. Figure 1 Note: Figure not drawn to scale. A. i. Complete the following tasks in figures 2 and 3. Use either arrows or the symbols shown in the box above the figures for your response. • Indicate the direction of the magnetic field from Wire 2 at Point P in Figure 2. • Indicate the direction of the magnetic force that is exerted on Wire 1 by Wire 2 in Figure 3. Symbols X Into the page ● Out of the page Magnetic Field from Wire 2 at Point P Magnetic Force on Wire 1 by Wire 2 Figure 2 Figure 3 ii. Very long Wire 3 carrying current 2I in the +x-direction is placed in the xy-plane along the line y = y3. The net magnetic force exerted on Wire 1 by the currents in wires 2 and 3 is zero. Derive an expression for y3 in terms of d. Begin your derivation by writing a fundamental physics principle or an equation from the reference information. B. Wire 3 is moved very far away from wires 1 and 2. A circular conducting loop in the xy-plane is initially held at rest below Wire 1. The loop is then moved at a constant speed in the −y-direction, as shown in Figure 4. Figure 4 Note: Figure not drawn to scale. Indicate whether there is a clockwise induced current in the loop, a counterclockwise induced current in the loop, or no induced current in the loop. ___ Clockwise ___ Counterclockwise ___ There is no induced current in the loop. Justify your answer.