I'm sorry that the one picture I have came out terrible. The picture with the flash off was even worse (low battery syndrome). I was debating weather or not to post - but considering I couldn't find instructions anywhere on the web on how to do this, I decided to go forth and conquer. At least the video in step 2 is somewhat amusing.
If I can - I'll build my own bridge and make my own meat thermometer probe. Why? you ask. Why not? What's cooler than measuring the temperature of your turkey with your trusty multimeter. And in my case, my trusty cheapo multimeter and calculator :P
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You can probably do it with your own wires - but the must be dissimilar materials and your results may vary. If the materials are not suitable, you will know as soon as you try to calibrate.
2. A capacitor bank or other method to spot weld a tiny wire.
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From http://www.omega.com/temperature/z/pdf/z218-220.pdf, using Type K thermocouple wire and (pick a number) a 500F temperature difference you get about 10.6mV (0.0106V) per junction pair, so that's 300 junction pairs for 3.18V.
The Seebeck effect is the conversion of temperature differences directly into electricity.
1) TCs are not linear, especially at the extremes of their ranges. That said, for most DIY purposes (0-100 degC) "common" (J/T/K) TCs are close enough.
2) I like to do a third calibration check at a temperature close to what I expect to measure (usually ~50% full-scale), but I'm a bit compulsive (13 yrs as an Elect/Instr Tech).
3) Make sure you use actual TC wire and not extension wire if you are concerned about absolute accuracy. Extension wire is OK if you're only worried about repeatibility.
4) I haven't looked at one in a while, but the Omega Product Handbook for Temperature (Omega) was my TC Bible back in the 80s-90s.