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

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

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)

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

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

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

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

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

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

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:

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

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