Differences between revisions 30 and 49 (spanning 19 versions)

Skin Depth

Material	Absolute Temperature	relative permeability	resistivity	skin 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
LibreOffice Spreadsheet
{ \Large { \delta = \sqrt{ 2 \rho \over { \omega ~ \mu_r ~ \mu_0 } } } } in meters { \Large { \delta = \sqrt{ 2.533e11 \rho \over { f ~\mu_r } } } } in mm { \LARGE { { 2 \over { 2 \pi \mu_0 } } } } = 253303 m/H
Permeability
Resistivity for copper see Matula 1979 page 1161 for aluminum see Simmons 1960
Graph by Zureks from Wikipedia article skin effect

-  ⇤ ← Revision 30 as of 2018-07-18 17:38:31 → 
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+   ← Revision 49 as of 2018-07-18 17:54:27 → ⇥
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  Editor: KeithLofstrom
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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|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>>$ \delta = \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  ||
+|| [[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>><<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 ]] ||
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-|| [[ attachment:skindepth.ods | LibreOffice Spreadsheet]]  ||

Diff for "SkinDepth"

Skin Depth