Using Ampere's Law in finding H (magnetic field intensity)

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SUMMARY

The discussion focuses on applying Ampere's Circuital Law to determine the magnetic field intensity (H) in regions with conducting slabs carrying uniform current densities of 10 A/m². The relevant equations include Biot-Savart Law and Ampere's Circuital Law. Participants emphasize the necessity of using a rectangular loop to apply Ampere's Law effectively. The discussion highlights the importance of consulting textbooks for examples to aid in understanding the application of these laws.

PREREQUISITES
  • Understanding of Ampere's Circuital Law
  • Familiarity with Biot-Savart Law
  • Knowledge of magnetic field intensity (H)
  • Basic concepts of current density
NEXT STEPS
  • Study the application of Ampere's Circuital Law in different geometries
  • Explore examples of Biot-Savart Law in practical scenarios
  • Learn about the effects of current density on magnetic fields
  • Review textbooks or resources on electromagnetic theory for additional context
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone seeking to understand the application of Ampere's Law in calculating magnetic field intensity in conducting materials.

jadi929
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Homework Statement



Let the regions 0 < z < 0.3 m and 0.7 < z < 1.0 m be conducting slabs carrying uniform current densities of 10 A/m^2 in opposite directions. Find H (the magnetic field intensity) and different z positions.

Homework Equations



Biot-Sarvot Law: H = ∫ (I dL X r)/ (4∏R2)

Ampere's Circuital Law: ∫ HdL = I

The Attempt at a Solution



I am guessing we have to apply ampere's law to each slab, in a rectangular loop. The slabs extend infinetly in the y and x axes. But I got no clue on exactly how to apply this law :( Any help would be appreciated as this my first post here.

Thanks!
 

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Good idea. Surely your textbook has examples of how to apply Ampere's law.
 

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