notes 16 3317.pptx - ECE 3317 Prof Ji Chen Spring 2019 Notes 16 Plane Waves in Good Conductors 1 Good Conductor 1 Requirement J E 1 c j 1 j 1 Example

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Prof. Ji Chen Notes 16 Plane Waves in Good Conductors ECE 3317 1 Spring 2019
Good Conductor Use Hence 2 Example: copper Requirement: so 1 c j j  1 c j    c k j j   /4 1 2 j j j e 1 2 k j  2 k k   k k jk  J E 1   1  
Denote Then we have “skin depth” Skin Depth 3 2 k k   1 p d k  2 1 p d k k  
Hence Skin Depth (cont.) 4 0 0 E ( ) E E jkz jk z k z x x x z e e e  z 0 0 , , ,    x / / 0 E ( ) E j z z x x z e e 1 k k 
Skin Depth (cont.) Example: copper Frequency 1 [Hz] 6.6 [cm] 10 [Hz] 2.1 [cm] 100 [Hz] 6.6 [mm] 1 [kHz] 2.1 [mm] 10 [kHz] 0.66 [mm] 100 [kHz] 0.21 [mm] 1 [MHz] 66 [ m] 10 [MHz] 21 [ m] 100 [MHz] 6.6 [ m] 1 [GHz] 2.1 [ m] 10 [GHz] 0.66 [ m] 100 [GHz] 0.21 [ m] 5 2  7 0 4 10 [H/m] 7 5.8 10 [S/m]
The same penetration principle holds for curved conductors, as long as the radius of curvature is large compared with the skin depth.

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