Solving Amperes Law Problem - B=2.15T, Answer in Tm

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SUMMARY

The discussion centers on applying Ampere's Law to a magnetic field of B=2.15 T. The key equation used is ∫βDs=μI, which relates the magnetic field to current. The conclusion reached is that the net magnetic field contribution is zero due to the cancellation of parallel components in opposite directions. This understanding is crucial for solving similar problems in electromagnetism.

PREREQUISITES
  • Understanding of Ampere's Law and its mathematical formulation
  • Familiarity with magnetic fields and their properties
  • Basic calculus for integration
  • Knowledge of current (I) and its relationship to magnetic fields
NEXT STEPS
  • Study the applications of Ampere's Law in different geometries
  • Learn about the Biot-Savart Law for calculating magnetic fields
  • Explore the concept of magnetic field lines and their interactions
  • Investigate the effects of varying current on magnetic fields
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Students studying electromagnetism, physics educators, and anyone looking to deepen their understanding of magnetic fields and Ampere's Law applications.

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Homework Statement



A constant magnetic field points to the right. B= 2.15 T. Answer in Tm .



Homework Equations


∫βDs=μI



The Attempt at a Solution



Just got introduced to these problems so not really sure how or what to integrate.3
 

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NM I got it the answers is zero since the perpendicular components to the field are zero, and the parallel ones go in opposite directions, and therefore cancel as well.
 

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