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Magnetic Force on a Current-Carrying Wire

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Two long, straight wires are placed on the x- and y-axes, intersecting at the origin. The wire on the x-axis carries a 6.0 A current in the +x direction, and the wire on the y-axis carries a 4.0 A current in the +y direction. A 0.20 m wire segment carrying a 2.0 A current is placed parallel to the z-axis at a distance of 0.10 m from the y-axis. Assuming the magnetic field from the wire on the x-axis is negligible, what is the magnitude of the magnetic force on the wire segment?

A

1.6 × 10⁻⁶ N

B

3.2 × 10⁻⁶ N

C

8.0 × 10⁻⁷ N

D

4.0 × 10⁻⁶ N

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