Do two perpendicular wires exert a force on each other?

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SUMMARY

The discussion centers on the interaction between two current-carrying wires, specifically a straight wire and a rectangular wire positioned perpendicularly. It is established that the straight wire does exert a force on the rectangular wire due to the magnetic field generated by the current. The force on each segment of the rectangular wire can be calculated using the formula F_m = IΔl × B, where the direction of the force depends on the orientation of the currents and the magnetic field. The conclusion confirms that the force is indeed present, but the net force on the rectangular wire can be zero depending on the configuration.

PREREQUISITES
  • Understanding of electromagnetic theory, specifically Ampère's Law.
  • Knowledge of vector cross products and their application in physics.
  • Familiarity with the concept of magnetic fields generated by current-carrying conductors.
  • Basic proficiency in using the formula F_m = IΔl × B for calculating magnetic forces.
NEXT STEPS
  • Study the implications of Ampère's Law in different configurations of current-carrying wires.
  • Learn about the Biot-Savart Law and its application in calculating magnetic fields.
  • Explore the concept of magnetic field lines and their interactions with current-carrying conductors.
  • Investigate the effects of varying current magnitudes and directions on the forces between wires.
USEFUL FOR

This discussion is beneficial for physics students, educators in electromagnetism, and anyone interested in understanding the principles of magnetic forces between current-carrying wires.

Zack K
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I have a question for my E&M assignment (I'm not putting it in the homework thread since I just need more of a concept check) that involves a straight wire with current through it. If you have a wire with a current through it, and you have a rectangular wire also with current, to the right of the wire.

Does the straight wire exert a force on the parts of the rectangular wire perpendicular to it?
 
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Zack K said:
I have a question for my E&M assignment (I'm not putting it in the homework thread since I just need more of a concept check) that involves a straight wire with current through it. If you have a wire with a current through it, and you have a rectangular wire also with current, to the right of the wire.

Does the straight wire exert a force on the parts of the rectangular wire perpendicular to it?

You should know by now how this forum works. You have to offer what you know and what you have already attempted.

Assuming that you know how to take the cross product of vectors, and you know how that applies to this situation, do that for each segment of the wire. The segments in question should have a force acting on each part, but look at the direction of the force acting on the opposite ends of the rectangle.

Zz
 
ZapperZ said:
You should know by now how this forum works. You have to offer what you know and what you have already attempted.

Assuming that you know how to take the cross product of vectors, and you know how that applies to this situation, do that for each segment of the wire. The segments in question should have a force acting on each part, but look at the direction of the force acting on the opposite ends of the rectangle.

Zz
Right I see, since you have ##F_m=I\Delta l \times B##, it will be 0.
 

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