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Deletions are marked like this. Additions are marked like this.
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$ \delta = \sqrt{ 2 \rho / \omega \mu_r \mu_0 } $ . . . . . $ 2 / \mu_0 $ = 1.59e6 m/H $ \delta = \sqrt{ 2 \rho / \omega \mu_r \mu_0 } in m ~=~ \sqrt{ 2.533e11 \rho / f \mu_r } in mm $ . . . . . $ 2  / 2 \pi \mu_0 $ = 253303 m/H 
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|| 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 || Temp || perm. || resis. ||<-7> depth (mm) at frequency ||
|| || 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 || 13.4 || 1.7 || 0.67 || 0.43 || 0.19 || 0.95 || 0.030 ||
|| 3% Si Transformer Steel || 600 || 300? || 7e-7? || 24.3 || 3.1 || 1.2 || 0.77 || 0.34 || 0.17 || 0.054 ||
|| Copper || 300 || 1 || 1.7e-8 || 65.6 || 8.5 || 3.3 || 2.1 || 0.93 || 0.46 || 0.15 ||
|| Copper || 600 || 1 || 3.8e-8 || 98.1 || 13 || 4.9 || 3.1 || 1.4 || 0.69 || 0.22 ||
|| Aluminum || 300 || 1 || 2.8e-8 || 84.2 || 11 || 4.2 || 2.7 || 1.2 || 0.60 || 0.19 ||
|| Aluminum || 600 || 1 || 5.9e-8 || 122.2 || 16 || 6.1 || 3.9 || 1.7 || 0.86 || 0.27 ||

Resistivity - for copper see Matula 1979 page 1161, for aluminum see Simmons 1960

Skin Depth

\delta = \sqrt{ 2 \rho / \omega \mu_r \mu_0 } in m ~=~ \sqrt{ 2.533e11 \rho / f \mu_r } in mm . . . . . 2 / 2 \pi \mu_0 = 253303 m/H

Material

Temp

perm.

resis.

depth (mm) at frequency

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

13.4

1.7

0.67

0.43

0.19

0.95

0.030

|| 3% Si Transformer Steel || 600 || 300? || 7e-7? || 24.3 || 3.1 || 1.2 || 0.77 || 0.34 || 0.17 || 0.054 ||

Copper

300

1

1.7e-8

65.6

8.5

3.3

2.1

0.93

0.46

0.15

Copper

600

1

3.8e-8

98.1

13

4.9

3.1

1.4

0.69

0.22

Aluminum

300

1

2.8e-8

84.2

11

4.2

2.7

1.2

0.60

0.19

Aluminum

600

1

5.9e-8

122.2

16

6.1

3.9

1.7

0.86

0.27

Resistivity - for copper see Matula 1979 page 1161, for aluminum see Simmons 1960

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