To sketch the experimental setup, draw a coordinate system and show the wires crossing the x-y plane. Use arrows to indicate the direction of the current flow and draw magnetic field lines around each wire. To write the forces in component form, use vector notation and consider the directions of the currents and the right-hand rule.
To sketch the experimental setup, you can draw a coordinate system with wire 1 on the y-axis and wire 2 on the x-axis. Show the wires crossing the x-y plane at their respective coordinates (0,3) and (8,0). Indicate the direction of the current flow in the wires using arrows. To represent the magnetic fields, draw lines around each wire perpendicular to the plane of the page. The strength of the magnetic field decreases as you move farther away from the wires.
To write the forces per unit length in component form, you can use vector notation. Let's say the force per unit length that wire 1 exerts on wire 2 is represented by vector F12, and the force per unit length that wire 2 exerts on wire 1 is represented by vector F21. To determine the signs of the components, you need to consider the directions of the currents in the wires and the right-hand rule. The forces will have different signs for the x-component and the y-component due to the difference in the directions of the currents in the wires.