Find position, magnitude, and direction

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SUMMARY

The discussion revolves around a physics problem involving three coplanar wires carrying electric currents. Wire 1 carries an upward current of 1.5 A, and wire 2 carries a downward current of 4 A, with a distance of 20 cm between them. The objective is to determine the position of wire 3 and the magnitude and direction of its current such that no net magnetic force acts on any of the wires. The magnetic field produced by an infinitely long wire is a critical concept in solving this problem.

PREREQUISITES
  • Understanding of Ampère's Law
  • Knowledge of magnetic fields produced by current-carrying wires
  • Familiarity with vector addition of forces
  • Basic principles of electromagnetism
NEXT STEPS
  • Study the application of Ampère's Law in calculating magnetic fields
  • Learn about the Biot-Savart Law for magnetic field calculations
  • Explore the concept of magnetic force between parallel currents
  • Investigate the conditions for equilibrium in magnetic systems
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in electromagnetism, particularly those studying current-carrying conductors and their interactions.

wayneinsane
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Homework Statement



Three long wires( 1,2 and 3) are coplanar and hang vertically. The distance between wire 1 and 2 is 20 cm. On the left wire 1 carries an upward current of 1.5 A. To the right the wire 2 carries a downward current of 4 A. Wire 3 is located such that, when it carries certain current such that no net magnetic force acts upon any of the wires. Find the position of wire 3 and the magnitude and direction of the current in 3.


Homework Equations



Ummm...?


The Attempt at a Solution




I'm drawing a blank...This question confuses me.
 
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What is the magnetic field at a distance 'r' produced by an infinitely long wire with current 'I'?
 

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