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Differences between revisions 4 and 29 (spanning 25 versions)
⇤ ← Revision 4 as of 2018-07-17 05:58:12 →
Size: 1044
Editor: KeithLofstrom
Comment:
← Revision 29 as of 2018-07-18 17:38:00 → ⇥
Size: 1703
Editor: KeithLofstrom
Comment:
Deletions are marked like this. Additions are marked like this.
Line 3: Line 3:

$ \delta = \sqrt{ 2 \rho

|| Material || Temp || perm. || resis. ||<-6> depth (m) at frequency ||
|| || K || $\mu$,,r,, || $\rho$ $\Omega$-m || 60 Hz || 400 Hz || 1 KHz || 5 KHz || 20 KHz || 200 KHz ||
|| 3% Si Transformer Steel || 300 || 700 || || || || || || || ||
|| 3% Si Transformer Steel || 700 || 700? || || || || || || || ||
|| Aluminum || 300 || 1 || || || || || || || ||
|| Aluminum || 700 || 1 || || || || || || || ||
|| Copper || 300 || 1 || || || || || || || ||
|| Copper || 700 || 1 || || || || || || || ||		 || Material || Temp || perm. || resis. ||<-7> depth (mm) at frequency (Hz) ||
|| || K || $\mu_r$||$\rho~~\Omega$-m || 1 Hz || 60 Hz || 400 Hz || 1 KHz || 5 KHz || 20 KHz || 200 KHz ||
|| 3% Si Transformer Steel || 300 || 700 || 5e-7 || 13 || 1.7 || 0.67 || 0.43 || 0.19 || 0.95 || 0.030 ||
|| 3% Si Transformer Steel || 600 || 300? || 7e-7? || 24 || 3.1 || 1.2 || 0.77 || 0.34 || 0.17 || 0.054 ||
|| Copper || 300 || 1 || 1.7e-8 || 66 || 8.5 || 3.3 || 2.1 || 0.93 || 0.46 || 0.15 ||
|| Copper || 600 || 1 || 3.8e-8 || 98 || 13 || 4.9 || 3.1 || 1.4 || 0.69 || 0.22 ||
|| Aluminum || 300 || 1 || 2.8e-8 || 84 || 11 || 4.2 || 2.7 || 1.2 || 0.60 || 0.19 ||
|| Aluminum || 600 || 1 || 5.9e-8 || 122 || 16 || 6.1 || 3.9 || 1.7 || 0.86 || 0.27 ||
|| ||<-10|10> {{ https://upload.wikimedia.org/wikipedia/commons/f/f3/Skin_depth_by_Zureks.png }} ||
||$ \delta = \sqrt{ 2 \rho / \omega \mu_r \mu_0 } $ in meters <<BR>><<BR>>$ ~=~ \sqrt{ 2.533e11 \rho / f \mu_r } ~~$ in mm<<BR>><<BR>><<BR>>$ 2 / 2 \pi \mu_0 $ = 253303 m/H ||
|| '''Resistivity'''<<BR>><<BR>> for copper see <<BR>> Matula 1979 page 1161<<BR>><<BR>><<BR>>for aluminum see<<BR>> Simmons 1960 ||
||<)>Graph by [[https://commons.wikimedia.org/wiki/User:Zureks | Zureks]]<<BR>>from Wikipedia<<BR>>article [[ https://en.wikipedia.org/wiki/Skin_effect | skin effect ]] ||
|| [[ attachment:skindepth.ods | LibreOffice Spreadsheet]] ||

Skin Depth

Material

Temp

perm.

resis.

depth (mm) at frequency (Hz)

K

r

\rho~~\Omega-m

1 Hz

60 Hz

400 Hz

1 KHz

5 KHz

20 KHz

200 KHz

3% Si Transformer Steel

300

700

5e-7

13

1.7

0.67

0.43

0.19

0.95

0.030

3% Si Transformer Steel

600

300?

7e-7?

24

3.1

1.2

0.77

0.34

0.17

0.054

Copper

300

1

1.7e-8

66

8.5

3.3

2.1

0.93

0.46

0.15

Copper

600

1

3.8e-8

98

13

4.9

3.1

1.4

0.69

0.22

Aluminum

300

1

2.8e-8

84

11

4.2

2.7

1.2

0.60

0.19

Aluminum

600

1

5.9e-8

122

16

6.1

3.9

1.7

0.86

0.27

https://upload.wikimedia.org/wikipedia/commons/f/f3/Skin_depth_by_Zureks.png

\delta = \sqrt{ 2 \rho / \omega \mu_r \mu_0 } in meters

~=~ \sqrt{ 2.533e11 \rho / f \mu_r } ~~ in mm


2 / 2 \pi \mu_0 = 253303 m/H

Resistivity

for copper see
Matula 1979 page 1161


for aluminum see
Simmons 1960

Graph by Zureks
from Wikipedia
article skin effect

LibreOffice Spreadsheet

SkinDepth (last edited 2018-07-18 17:58:39 by KeithLofstrom)