.m files

1
Repeated vector operations Phasors Electrostatics
superposition
2
repeated vector operations

• curl (grad a) 0
• divcurl A 0
• div (grad a) Laplacian (a)

3
repeated vector operations
curl (grad a) 0
Why do we get this result?
4
gt 0
5
repeated vector operations
div (curl A) 0
Why do we get this result?
6
gt 0
7
repeated vector operations
div (grad a) Laplacian (a)
8
(No Transcript)
9
Phasors

• v V cos (?t ø)
• v Re V ej?t
• where V V ejø

10
RL circuit R 6 L 2H
W
11
phasors search Web for examples Applets, etc.
12
(No Transcript)
13
Physics of Plasmas September, 2008
14
Electric charge ? force ? electric field
15
Newton 1643-1727
16
Coulomb 1736-1806
17
Coulomb's law
18
Yes Senator, Electrical and Computer Engineers
have particles that have charges with different
signs positive and negative! This was not
invented at Microsoft in order to limit
competition
19
10 to 20 Coulombs
20
this law separates electrical engineering, from
the rest
we have charge!
21
fundamental units mass M, length L, time
T, charge Q
22
Charged dust grains
23
history

• 900 BC - Magnus, a Greek shepherd, walks across
  a field of black stones which pull the iron nails
  out of his sandals and the iron tip from his
  shepherd's staff (authenticity not guaranteed).
  This region becomes known as Magnesia.

24
history

• Thales of Miletus
• 624-547 BC
• amber rod picked up fluff and stuff
• elektron in Greek
• elektrum in Hebrew
• Ezekiel 127

25
history

• 1269 - Petrus Peregrinus of Picardy, Italy,
  discovers that natural spherical magnets
  (lodestones) align needles with lines of
  longitude pointing between two pole positions on
  the stone.

compass
2600 BC in China
26
Superposition of forces
vectors
27
note symmetry
28
(No Transcript)
29
electric field
30
Fundamental units mass M, length L, time T,
charge Q
31
Superposition of electric fields
vectors
32
(No Transcript)
33
Distributed charge density
volume charge density
surface charge density
linear charge density
34
symmetry
35
(No Transcript)
36
symmetry
37
(No Transcript)
38
finite size square sheet uniform charge density
39
(No Transcript)
40
Lately I've been wondering where the slide rules
went. Back in the 1960s, slide rules were a
prime accessory for those with a quantitative
bent. They were suspended from belts long before
calculators. In fact, they were the personal
calculation engine of choice for almost three
centuries.
Fermi
41
The principle of the slide rule was first
enumerated by E. Gunter in 1623, and in 1671, S.
Partridge constructed an instrument similar to
the modern slide rule. The slide rule was an
indispensable tool for scientists and engineers
through the 1960s.
42
In 50 years, the computer you are using to view
this will be landfill, but your slide rule will
just be nicely broken in.
43
It happens elsewhere other than under the Iowa
Avenue bridge
44
(No Transcript)