@HDPlayer  
You jut described superconductors and superinsulators, except current doesn’t travel infinitely fast through a superconductor, it just travels without loss, AKA the perfect wire(if we could make some at room temperature)

@redweasel  
XD  
Well the comments isn’t really a good place to talk about it

spheedc liked math and now they have no one to talk to about it.
 
math. not even once.

I have the “math” tag watched, so if you ever want to ask a question here just draw something about it and post it. ;^{)
 
Although stackexchange is often better for asking questions. It’s not primarily meant as a board for sharing pictures of little ponies after all. ;})

Well…
 
…there’s me. I have a M.Sc. in Meteorology and B.Sc. in Physics. I did this for fun out of boredom and calculus practice: http://www.texpaste.com/n/3wxs9fap Took me a while to figured out because I was trying too hard on this problem.
 
I also have a friend that runs an ask blog about a math unicorn named Hoofclid. He’s a Ph.D. math student at some UK university.
 
@HDPlayer  
There are superconductor. There are also non-Ohmic materials that disobey Ohm’s law of V=IR.

@HDPlayer
 
0 and ∞ are always interesting. With limits, it has the same results, but in a “it approaches that but it’s not that” way.

and i love stupid math stuff.
 
Reistance = Voltage / Amperage, aka. R = U / I
 
but what happens when you got a Wire with 0 Resistance, or Infinite Resistance?
 
well lets say you put 10V on that shit,  
so we need I.
 
I = U / R, I = 10V / 0Ω = ∞A
 
which makes sense. having literally nothing to slow down the current it will just flow inintily fast, casuing the entire circuit to melt into Plasma in an instant.
 
now the Opposite, Infinite Resistance at 10V.
 
I = U / R, I = 10V / ∞Ω = …?
 
ok there is a Problem, under normal math rules any operation with Infinity throw out Infinity again… with some exception. BUT! dividing a number by an Infinity larger number makes an Infinitly small number. so it is ~0.
 
which means that even with Infinite Resistance there is still a infinitly small current flowing.
 
This is the reason why batteries go dead after a long time even if not attached to anything. Air doesn’t have Infinite Resistance, so the current that is always flowing is larger, but still too small to ever care about.
 
[/Math]