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Magnetism. INEL 4151 Dr. Sandra Cruz-Pol 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

Magnetism

INEL 4151

Dr. Sandra Cruz-Pol

UPRM

applications
Applications

Motors

Transformers

MRI

More…

slide4

H= magnetic field intensity [A/m]

B = magnetic field density [Teslas]

biot savart law
Biot-Savart Law
  • States that:
example
Example

a2

af

a1

r

For an infinitive line filament with current I (a1=180o and a2=0o):

pe 7 1 find h at 0 0 5
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

ampere s law
Ampere’s Law
  • Simpler
  • Analogous to Gauss Law for Coulombs
  • For symmetrical current distributions
ampere s law1
Ampere’s Law

We define an Amperian path where H is constant.

infinitely long coaxial cable
Infinitely long coaxial cable

z

Four cases:

1) For r<a

infinitely long coaxial cable1
Infinitely long coaxial cable

z

Four cases:

2) For a<r<b

infinitely long coaxial cable2
Infinitely long coaxial cable

Four cases:

3) For b<r<b+c

z

infinitely long coaxial cable3
Infinitely long coaxial cable

Four cases:

4) For r>b+c