Sounds promising- those rules are a lot more demanding (0.02" PCB width for 2 conductors) than my assumption, and I think I used a number for thermal conductivity that was higher.
AWG 36 phosphor bronze has a resistance of around 10 ohms per meter and about 1/6 the thermal conductivity of a similar diameter copper wire, so around the equivalent of AWG 48 copper wire.
Yup, without thinking, I made the mistake of using a several Watt film resistor in a circuit to limit ignition current when starting a mercury short-arc lamp with a spark gap. The film blew off the resistor on the first spark. Replacing it with a composition resistor fixed the problem.
Yes, I specifically used 1/4 W 10 Ohm carbon film resistors on my gas tube arrestors on the phone lines into my house. I have had to replace the resistors several times over the last 20 years when a large induced lightning current delivered a big spike. But, they have protected my modem, answering machine and PBX from any damage.
For cryogenic applications it might be different--the thermal conductivity isn't anything like constant, so you have to use the thermal conductance integral instead of just the thermal conductivity times the temperature drop. The best source I know of for that is the Lakeshore catalogue.
Cheers
Phil Hobbs
--
Dr Philip C D Hobbs
Principal Consultant
ElectroOptical Innovations LLC
Optics, Electro-optics, Photonics, Analog Electronics
160 North State Road #203
Briarcliff Manor NY 10510
845-480-2058
hobbs at electrooptical dot net
http://electrooptical.net
Yeah, the thermal conductivity of Copper increases for a while as you go below room temperature. The paper talks about tapered conductors, which sounds expensive, till you think about copper traces on flex or fiber glass.
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