Ohms Law Hot Dog Don't try this at the Lab
Ever try passing a current through a hot dog to cook it? Well, it could be a tofu wrapped something or a burrito, I don't care.
What's really important is the resistance. If we use Ohms Law, and if Ohms Law holds in this case (believe it or not, it usually does!), we can approximately calculate the amount of energy that will be transferred to the hot dog. So an accurate measure of the sausage's resistivity is critical for making the flamed on the inside dish.
There aren't many tables around for the resistivity of a particular round cylinder of meat and other organics, so you will probably want to measure that. Just shove the probes of the multi-meter into each end. This will give you a "Ballpark" value that will likely change.
Expect the values to go down as this bird cooks. While its normal for resistance values to go up in a wire as temperature increases...this is not a wire. Liquids and ionic salts will be released and this could turn into a runaway mess! Look out.
So let's play with some numbers: Say you're going to blast it with regular house current. You have about 120V and 20 Amperes to work with, although I don't recommend you use all of it. Let's try some numbers:

V=IR , so I=V/R
I=current (in Amperes)
R=resistance (in Ohms)

If R = 1000, and V = 120V, we have 0.12 A or only 120 milliamperes
Since power P = I^2R that is only 14.4 W
I don't think that's enough to cook your hot dog, but say things start to melt and ionize, well it may go down to 100 or even 5 ohms, then you get:

R = 5, V is still 120V, Current is now 24 Amperes!
P = 2880 Watts!

Be careful you don't let your resistance get too low this Holiday!
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