Moving wires in magnetic field/force

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    Magnetic Wires
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SUMMARY

The discussion focuses on the interaction between two long straight wires carrying currents in perpendicular directions. When current flows through wire 1 along the +x direction and wire 2 along the +y direction, wire 1 accelerates in the -y direction while wire 2 accelerates in the -x direction. The Right Hand Rule is applied to determine the direction of the magnetic fields and forces acting on the wires. The final conclusion confirms that both wires will rotate counterclockwise around the origin.

PREREQUISITES
  • Understanding of electromagnetic principles, specifically the Right Hand Rule.
  • Familiarity with the behavior of current-carrying conductors in magnetic fields.
  • Knowledge of vector forces and their directions in a two-dimensional plane.
  • Basic concepts of torque and rotational motion in physics.
NEXT STEPS
  • Study the application of the Right Hand Rule in various electromagnetic scenarios.
  • Explore the principles of magnetic force on current-carrying wires in detail.
  • Investigate the effects of multiple current-carrying wires on each other.
  • Learn about torque and rotational dynamics in the context of electromagnetic systems.
USEFUL FOR

Physics students, electrical engineers, and educators interested in understanding the dynamics of current-carrying conductors in magnetic fields.

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Homework Statement


A long straight wire 1 lies along the x-axis. A long straight wire 2 lies along the y-axis so as
to pass very near, but not quite touch wire 1 at the origin. If both wires are free to move, what happens when currents are sent simultaneously in the +x direction through wire 1 and in the +y direction through wire 2? Note that “clockwise around origin” refers to an observer looking down on an xy plane in which +x is to the right and +y upward.

1. Both wires accelerate along the direction of current flow.
2. 1 accelerates in the −y direction, 2 in the -x direction.
3. Both wires rotate counterclockwise around the origin.
4. 1 accelerates in the +y direction, 2 in the -x direction.
5. Neither wire moves.
6. 1 accelerates in the +y direction, 2 in the +x direction.
7. 1 rotates counterclockwise, 2 clockwise around the origin.
8. 1 accelerates in the −y direction, 2 in the +x direction.
9. Both wires rotate clockwise around the origin.
10. 1 rotates clockwise, 2 counterclockwise around the origin.

Homework Equations


None

The Attempt at a Solution


I tried using the Right hand rule (#1) to find out the direction of the magnetic field on both wires, then i used the Right hand rule (#2) to find out the direction of the force to find out how it would move. I ended up getting wire 1 moving into the page, which doesn't seem right and is not in one of the answer choices.
 
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