Processing Math: 20%
To print higher-resolution math symbols, click the
Hi-Res Fonts for Printing button on the jsMath control panel.

No jsMath TeX fonts found -- using image fonts instead.
These may be slow and might not print well.
Use the jsMath control panel to get additional information.
jsMath Control PanelHide this Message


jsMath
Differences between revisions 27 and 28
Revision 27 as of 2018-07-18 17:34:13
Size: 1670
Comment:
Revision 28 as of 2018-07-18 17:36:42
Size: 1679
Comment:
Deletions are marked like this. Additions are marked like this.
Line 11: Line 11:
|| ||<-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 ||
|| ||<-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>>$ ~=~ \sqrt{ 2.533e11 \rho / f \mu_r } ~~$ in mm<<BR>><<BR>>$ 2 / 2 \pi \mu_0 $ = 253303 m/H ||

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)