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

3. Applications Motors Transformers MRI More…

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

5. Biot-Savart Law States that:

6. Example For an infinitive line filament with current I ( 1 =180 o and 2 =0 o ): 2 1 a

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

8. Amperes Law Simpler Analogous to Gauss Law for Coulombs For symmetrical current distributions

9. Amperes Law We define an Amperian path where H is constant.

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

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

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

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

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

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