Determine the magnetic field vector

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SUMMARY

The discussion focuses on calculating the magnetic field vector at a specific point due to two parallel wires carrying 31 A currents. The wires are positioned 15.0 cm apart, with the point of interest located 11.0 cm from one wire and 6.0 cm from the other. The magnetic field is determined using the formula B = μI/2πR, but the solution requires vector addition due to the non-perpendicular arrangement of the contributions from both wires.

PREREQUISITES
  • Understanding of magnetic fields and their calculations
  • Familiarity with the Biot-Savart Law
  • Knowledge of vector addition and trigonometry
  • Proficiency in using the formula B = μI/2πR
NEXT STEPS
  • Study vector addition techniques in physics
  • Learn about the Biot-Savart Law for magnetic field calculations
  • Explore the effects of current direction on magnetic field orientation
  • Practice problems involving magnetic fields from multiple sources
USEFUL FOR

Physics students, educators, and anyone studying electromagnetism or preparing for physics examinations will benefit from this discussion.

Fisicks
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Homework Statement


Two long thin parallel wires 15.0 cm apart carry 31 A currents in the same directions. Determine the magnetic field vector at a point 11.0 cm from one wire and 6.0 cm from the other


Homework Equations


B=uI/2piR



The Attempt at a Solution


ok so the magnetic field that point P will be the square root of the sum of the squares of the contributions from both wires. But this doesn't work out..
 
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Fisicks said:

The Attempt at a Solution


ok so the magnetic field that point P will be the square root of the sum of the squares of the contributions from both wires. But this doesn't work out..
That only works if the two vectors are at right angles to each other. If they're not at right angles, you have to use sines and cosines and do vector addition.
 

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