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Lecture 16 (2/23/05) - Electrostatics: Conformal Mapping, Study notes of Physics

University of Wisconsin (UW) - MadisonPhysics

A part of lecture notes from a university course on electrostatics. The notes cover the topic of conformal mapping, which is a complex function used to map one complex plane onto another. Various mathematical expressions and symbols, such as harmonic functions, conformal transformations, and complex numbers. Students are expected to understand the concepts of complex analysis and conformal mapping to solve problems related to electrostatics.

Typology: Study notes

Pre 2010

Uploaded on 09/02/2009

koofers-user-7t3
koofers-user-7t3 ๐Ÿ‡บ๐Ÿ‡ธ

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Lecture 16 (2/23/05)
Electrostatics
13. Conformal mapping
๎˜€๎˜‚๎˜๎˜„๎˜ƒ๎˜†๎˜…๎˜ˆ๎˜‡๎˜Š๎˜‰
๎˜‹๎˜๎˜Œ
๎˜€๎˜๎˜Ž๎˜๎˜๎˜’๎˜‘
๎˜Œ
๎˜€๎˜“๎˜Ž๎˜”๎˜…๎˜ˆ๎˜‡๎˜–๎˜•
๎˜Œ
๎˜€๎˜๎˜Ž
๎˜—
๎˜‘
๎˜—
๎˜ƒ
๎˜
๎˜—
๎˜•
๎˜—
๎˜‰
๎˜—
๎˜•
๎˜—
๎˜ƒ
๎˜๎˜™๎˜˜
๎˜—
๎˜‘
๎˜—
๎˜‰
a) Harmonic:
๎˜š
๎˜›๎˜†๎˜œ
๎˜‘๎˜๎˜๎˜Ÿ๎˜ž
๎˜—
๎˜œ
๎˜—
๎˜ƒ
๎˜œ
๎˜…
๎˜—
๎˜œ
๎˜—
๎˜‰
๎˜œ!
๎˜‘๎˜’๎˜#"
๎˜ž
๎˜—
๎˜œ
๎˜—
๎˜ƒ
๎˜œ
๎˜…
๎˜—
๎˜œ
๎˜—
๎˜‰
๎˜œ$
๎˜•๎˜™๎˜%"
b)
๎˜š
๎˜›
๎˜‘%&
๎˜š
๎˜›
๎˜•๎˜™๎˜#"
c)
')(+*
๎˜ ,
๎˜‡.-0/
'
๎˜€๎˜1
2
'
๎˜€
๎˜œ
3
'
๎˜€
2
343
'
๎˜€
๎˜œ
3
๎˜
'๎˜‚(65
d) If
๎˜Œ87:9
7<;
9
๎˜…
7=9
7+>
9
๎˜Ž@?
๎˜ŒA๎˜‹
๎˜Ž๎˜๎˜#"
, then
๎˜ŒB7=9
7:C
9
๎˜…
7=9
7:D
9
๎˜Ž@?
๎˜ŒA๎˜‹๎˜๎˜Œ
๎˜€๎˜๎˜ŽE๎˜Ž๎˜๎˜#"
1

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Download Lecture 16 (2/23/05) - Electrostatics: Conformal Mapping and more Study notes Physics in PDF only on Docsity!

Lecture 16 (2/23/05)

Electrostatics

13. Conformal mapping

a) Harmonic: 

b)

c)

d) If

A

, then

B7=

7 :C 9

7 :D 9

A

E#"

1