Understanding the Role of Current Density in Wire Conductors

AI Thread Summary
Current density (J) is relevant in wire conductors as it helps understand how current distributes within the wire, particularly for AC and DC applications. For DC, current is distributed throughout the wire, while for AC, it primarily resides within the skin depth, which is about 1 cm for copper at 60 Hz. The skin effect causes current to concentrate near the surface, leading to a non-uniform distribution. This understanding is crucial for applications in fields like plasma physics and electrical engineering. The discussion emphasizes the importance of J in analyzing current behavior in conductors.
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I can see the purpose of J for currents taking place in a volume like, say.. plasma physics

but for current in a wire, it's all surface current, so why use J?
 
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Why do you think that the current is all at the surface?

For DC, it is spread across the wire.

For AC, it is mostly in the region between the surface and the skin depth. For copper and 60 Hz, this is about 1 cm.

See https://en.wikipedia.org/wiki/Skin_effect
Locate the vertical red line in the figure, or use the formulas.
 
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