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| || Material || Temp || perm. || resis. ||<-7> depth (mm) at frequency (Hz) || | || Material || Absolute<<BR>>Temperature || relative<<BR>>permeability || resistivity ||<-7> skin depth (mm) at frequency (Hz) || |
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| || ||<-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>>$ ~=~ \sqrt{ 2.533e11 \rho / f \mu_r } ~~$ in mm<<BR>>$ 2 / 2 \pi \mu_0 $ = 253303 m/H || || '''Resistivity'''<<BR>><<BR>> for copper see <<BR>> Matula 1979 page 1161<<BR>><<BR>>for aluminum see 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]] || |
|| [[https://www.libreoffice.org | LibreOffice ]]<<BR>>[[ attachment:skindepth.ods | Spreadsheet]] ||<-10|10> {{ https://upload.wikimedia.org/wikipedia/commons/f/f3/Skin_depth_by_Zureks.png }} || ||$ { \Large { \delta = \sqrt{ 2 \rho \over { \omega ~ \mu_r ~ \mu_0 } } } } $<<BR>> in meters <<BR>><<BR>>$ { \Large { \delta = \sqrt{ 2.533e11 \rho \over { f ~\mu_r } } } } $<<BR>> in mm<<BR>><<BR>><<BR>>$ { \LARGE { { 2 \over { 2 \pi \mu_0 } } } } $ = 253303 m/H || || '''Resistivity'''<<BR>><<BR>> for copper see <<BR>>[[https://aip.scitation.org/doi/abs/10.1063/1.555614 | Matula 1979 ]]<<BR>>page 1161<<BR>><<BR>><<BR>>for aluminum see<<BR>> [[ https://journals.aps.org/pr/abstract/10.1103/PhysRev.117.62 | 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 ]] || |
Skin Depth
Material |
Absolute |
relative |
resistivity |
skin depth (mm) at frequency (Hz) |
||||||
|
K |
|
\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 |
|
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{ \Large { \delta = \sqrt{ 2 \rho \over { \omega ~ \mu_r ~ \mu_0 } } } } |
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Resistivity |
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||<)>Graph by Zureks
from Wikipedia
article skin effect ||