Force between two perpendicular currents

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SUMMARY

The force between two perpendicular currents in wires is zero due to the nature of the magnetic field lines produced by each wire. According to the Biot-Savart Law, the magnetic field generated by one wire is parallel to the other wire, resulting in a net magnetic force of zero. However, there is a non-zero torque that acts to align the wires parallel to each other, as indicated by the right-hand rule (RHR). This phenomenon highlights the distinction between force and torque in electromagnetic interactions.

PREREQUISITES
  • Understanding of the Biot-Savart Law
  • Familiarity with magnetic field lines
  • Knowledge of the right-hand rule (RHR)
  • Basic principles of electromagnetism
NEXT STEPS
  • Study the Biot-Savart Law in detail
  • Explore the concept of torque in electromagnetic systems
  • Investigate the implications of current direction on magnetic forces
  • Learn about applications of perpendicular currents in real-world scenarios
USEFUL FOR

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

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Homework Statement



Why is the force of a wire to another wire that is perpendicular to it zero?


Homework Equations


biot-savart law


The Attempt at a Solution

 
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its because the magnetic field lines dut to one wire will be parallel to the another wire. And as the magnetic force is ilbsin(x) ad here the x is 0.
 
the net force would be zero, but the net torque would not be. if you sketch this situation, and draw some field lines by one wire only (call it #2), you can use the RHR applied to wire #1, and because of #2's magnetic field, there would be a torque which would tend to make the two wires align parallel and carry current in the same direction.
 

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