Bending Wires and Magnetic Fields?

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SUMMARY

The discussion centers on solving a physics problem involving magnetic fields generated by wires, specifically using the Biot-Savart Law. Participants agree that only vertical wires influence the magnetic field at the center, while horizontal wires contribute half the magnetic field strength due to symmetry. The consensus is that understanding these principles allows for quick problem-solving within strict time constraints, such as those found in tests without calculators.

PREREQUISITES
  • Understanding of the Biot-Savart Law
  • Knowledge of magnetic field concepts
  • Familiarity with symmetry arguments in physics
  • Basic problem-solving skills in electromagnetism
NEXT STEPS
  • Study the Biot-Savart Law in detail
  • Explore magnetic field calculations for straight and curved wires
  • Practice symmetry arguments in electromagnetism problems
  • Review test-taking strategies for physics without calculators
USEFUL FOR

Students preparing for physics exams, educators teaching electromagnetism, and anyone interested in the practical applications of magnetic fields in wire configurations.

albert1993
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Homework Statement



see attached. this question is from a test that doesn't allow any calculators and usually makes students solve the problem in 1 minute max.

Homework Equations



perhaps biot savart is to be used? but I doubt that can be done in the time limit...

The Attempt at a Solution



Only the verticals affect the center? I don't know...
 

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Only the verticals affect the center. For the horizontals, by simple symmetry arguments would you agree that the magnetic field due to a half wire will be half that of a full wire? If so, then you are done!
 
Thank you!
 

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