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Magnetism

Magnetism. INEL 4151 Dr. Sandra Cruz-Pol Electrical and Computer Engineering Dept. UPRM. Applications. Motors Transformers MRI More…. H= magnetic field intensity [A/m] B = magnetic field density [Teslas]. Biot-Savart Law. States that:. Example. a 2. a f. a 1. r.

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Magnetism

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  1. Magnetism INEL 4151 Dr. Sandra Cruz-Pol Electrical and Computer Engineering Dept. UPRM

  2. Applications Motors Transformers MRI More…

  3. H= magnetic field intensity [A/m] B = magnetic field density [Teslas]

  4. Biot-Savart Law • States that:

  5. Example a2 af a1 r For an infinitive line filament with current I (a1=180o and a2=0o):

  6. PE. 7.1 Find H at (0,0,5) z • Due to current in (figure): where a1=90o and (0,0,5) 1 y 10A 1 x

  7. Ampere’s Law • Simpler • Analogous to Gauss Law for Coulombs • For symmetrical current distributions

  8. Ampere’s Law We define an Amperian path where H is constant.

  9. Infinitely long coaxial cable z Four cases: 1) For r<a

  10. Infinitely long coaxial cable z Four cases: 2) For a<r<b

  11. Infinitely long coaxial cable Four cases: 3) For b<r<b+c z

  12. Infinitely long coaxial cable Four cases: 4) For r>b+c

  13. Sheet of current distribution z Cross section is a Line! b The H field on the Amperian path is given by: a y K [A/m] x

  14. PE. 7.5 Sheet of current Plane y=1 carries a current K=50 azmA/m. Find H at (0,0,0). y K =50 z -x

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