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I am designing a PCB which I will etch at home, but I need to know how to convert a wire gauge into the proper corresponding width of a copper track on the PCB. Is there a standard formula for this?

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There are formulas around to calculate current handling for various shapes/sizes of wire/trace, so rather than convert just calculate directly. There are various standards around (e.g. IPC2221 - was IPC-D-275 I think).
Rather than memorising formulas from the standards I think many use a tool of some sort. MiscEl is quite a useful little tool, amongst many other things, it has calculations for wires in AWG/mm/in/mil/etc - number of strands or solid core. For traces you put in desired width, temp rise and copper thickness and it will give you the max current for inner/outer traces.

MiscEl

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  • \$\begingroup\$ Hi Oli--Can you please explain the "temp rise" field? Everything else makes sense, but I am not sure what this field is for, how to calculate the variable, or what unit it is in. Thanks! \$\endgroup\$ Commented Jul 7, 2012 at 11:49
  • \$\begingroup\$ The temp rise field is the rise in the traces temperature with the max current passing through it. In the above picture the trace will rise by ~10 degrees when you have 1.4A (or 0.5A) passing through it. So you can e.g. set this to your desired maximum temperature rise. To see it from another other point of view, check the wires setting - you can set the dimension and the current and you see the temp rise for that current (plus advised max temperature) \$\endgroup\$
    – Oli Glaser
    Commented Jul 7, 2012 at 12:05
  • \$\begingroup\$ FYI: I found IPC-2221 here: mcuexamples.com/Downloads/ipc2221.pdf \$\endgroup\$
    – Jason S
    Commented Oct 26, 2012 at 17:35

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