Magnetic field at the center of a square conducting loop

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SUMMARY

The discussion focuses on calculating the magnetic field at the center of a square conducting loop using the equation B = [4uI/(4pi)]sin(theta1-theta2]. The values for theta1 and theta2 are established as 45 degrees and -45 degrees, respectively, based on the geometry of the loop. The user seeks clarification on how these angle values are derived and their geometrical significance. Reference to equation 30.4 in the textbook is suggested for further understanding.

PREREQUISITES
  • Understanding of magnetic fields and their calculations
  • Familiarity with the Biot-Savart Law
  • Knowledge of trigonometric functions and angles
  • Access to relevant physics textbooks, specifically one that includes equation 30.4
NEXT STEPS
  • Review the Biot-Savart Law for magnetic field calculations
  • Study the geometrical interpretation of angles in magnetic field problems
  • Examine equation 30.4 in your physics textbook for context
  • Practice similar problems involving magnetic fields in square loops
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Students studying electromagnetism, physics educators, and anyone seeking to deepen their understanding of magnetic fields in conducting loops.

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Homework Statement


Problem and solution attached

Homework Equations


B = [4uI/(4pi)]sin(theta1-theta2]

The Attempt at a Solution


I understand fully how to do it except determining the value of theta1 and theta2. The solution says theta1 is 45(deg) and theta2 is -45(deg). How did they get those values?
 

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What is the geometrical interpretation of the angles θ1 and θ2? You might need to refer back to equation 30.4 in your textbook. There's probably a figure in the text that will be helpful.
 

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