Two current carrying wires perpendicular to each other

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SUMMARY

When two long wires carrying current are positioned perpendicular to each other, they exert forces on each other due to their magnetic fields. The direction of these forces can be determined using the right-hand rule, specifically applying the vector cross product (v × B) to find the force direction. For instance, if one wire carries current north and the other east, the forces can be visualized at four points around the intersection, forming a diamond shape. Understanding this interaction is crucial for grasping the principles of electromagnetism.

PREREQUISITES
  • Understanding of electromagnetic theory
  • Familiarity with vector cross products
  • Knowledge of magnetic fields generated by current-carrying conductors
  • Basic principles of force interactions in physics
NEXT STEPS
  • Study the right-hand rule for determining force directions in electromagnetism
  • Explore the Biot-Savart Law for calculating magnetic fields around current-carrying wires
  • Learn about the Lorentz force law and its applications
  • Investigate the effects of varying current directions on force interactions between wires
USEFUL FOR

Physics students, electrical engineers, and anyone interested in the principles of electromagnetism and the interactions between current-carrying conductors.

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two long wires carry current and are at right angles to each other, but they do not touch. describe the force between them

I found the magnetic field and force direction individually when one wire's current points north and the other east. I just don't quite understand the affect they have on each other. It's a concept problem. I understand the force on each other in parallel.
 
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You just have to do v \times B (v cross B) to find the directions. Draw the cross, and look at the direction of the forces on each wire on both sides of the crossing wire (e.g. 4 points in a diamond with the crossing point at the center).

Does that make sense? Or help at all?
 

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