|
Size: 1118
Comment:
|
← Revision 50 as of 2018-07-18 17:58:39 ⇥
Size: 2085
Comment:
|
| Deletions are marked like this. | Additions are marked like this. |
| Line 3: | Line 3: |
$ \delta = \sqrt{ 2 \rho / \omega \mu_r \mu_0 } $ . . . . . $ 2 / \mu_0 $ = 1.59e6 m/H || 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 || 5e-7 || || || || || || || || 3% Si Transformer Steel || 700 || 700? || 5e-7 || || || || || || || || Aluminum || 300 || 1 || || || || || || || || || Aluminum || 700 || 1 || || || || || || || || || Copper || 300 || 1 || || || || || || || || || Copper || 700 || 1 || || || || || || || || |
|| Material || Absolute<<BR>>Temperature || relative<<BR>>permeability || resistivity ||<-7> skin 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 || || [[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 || || ~+'''Permeability'''+~<<BR>><<BR>>WAG, need citation<<BR>><<BR>> || || ~+'''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 |
|
||||||||||
{ \Large { \delta = \sqrt{ 2 \rho \over { \omega ~ \mu_r ~ \mu_0 } } } } |
||||||||||
Permeability |
||||||||||
Resistivity |
||||||||||
Graph by Zureks |
||||||||||
