Two very long parallel wires 1.0m apart lie on the ground

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SUMMARY

The discussion centers on calculating the magnetic field cancellation point between two parallel wires carrying currents of 4.0A and 6.0A, positioned 1.0m apart. The relevant equations include B = μ₀I/2πr and B = (μ₀I/4πx)(cos α + cos β). The user struggles with determining the correct approach to find the distance from the 4.0A wire where the magnetic fields cancel, emphasizing the need to consider the direction of the magnetic forces and the use of diagrams for clarity.

PREREQUISITES
  • Understanding of magnetic fields generated by current-carrying wires
  • Familiarity with the Biot-Savart Law and Ampère's Law
  • Knowledge of vector components in physics
  • Ability to interpret and create diagrams for physics problems
NEXT STEPS
  • Study the application of the Biot-Savart Law in calculating magnetic fields
  • Learn how to use vector addition to analyze magnetic forces
  • Explore the concept of magnetic field lines and their interactions
  • Practice solving problems involving multiple current-carrying conductors
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Students studying electromagnetism, physics educators, and anyone interested in understanding the principles of magnetic fields in parallel conductors.

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Homework Statement


Two very long parallel wires 1.0m apart lie on the ground carrying currents 4.0A and 6.0A in the same direction.
How far from the 4. wire are the magnetic field completely cancelled? 1.0m on the other side of the 4.0A wire, what is the magnitude of the magnetic field?

Homework Equations


B= UoI/2pir; B = (UoI/4pix)(cos alpha + cos betta) ; F/L = UoI1I2/2pid

The Attempt at a Solution


I have attempted to use the magnetic field equations in that they are both moving in same direction; the wires will attract each other meaning that they will be opposite signs, but still can't find the solution. I also tried using the Force per length but am not sure how to truly approach the problem.[/B]
 
Physics news on Phys.org
The magnetic force is not in the same direction everywhere.
Start by drawing a picture and working out which direcetion a compass needle points on each side of the wires.
 

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