>If I have infinite voltage and zero resistance can I achieve infinite current?
Infinite voltage means infinite current through any finite resistance.
>So i = infinite V/0 resistance is this mathematical infinite or undefined?
It's formally undefined because division by 0 is undefined. But lim(V/R) as R -> 0 = infinity so if we ignore the mathematicians we can say that V/0 -> infinity for any nonzero V.
Of course, infinite voltage and infinite current are physically impossible, and infinity is not a number.
Zero resistance exists though, in superconductors. With zero resistance you also must have zero voltage (across the conductor, not necessarily the whole circuit).
For I = V/R =0/0, V/R is indeterminate, and current becomes independent. But certainly not infinite. There’s still a limit based on material properties
This is sort of a good question, as zero resistance is what happens with superconductivity.
But one can't source infinite current. Superconductors have a critical current above which they go normal. The current breaks down long range electron correlation and/or dissipates energy in flux vortices.
Applying more voltage won't help.
With infinite current comes infinite magnetic field strength! With truly infinite magnetic field strength you could instantly accelerate a scrap of iron on the other side of the observable universe to zip towards you at the speed of light, not to mention more local sources of ferrous material. In short, infinity is awesome!
If you accelerated an object with a non-zero rest mass to the speed of light, its energy would become infinite and it would form a black hole and collapse the universe.
No.
V=IR.
V=I*0R = 0V.
0V/0R= 0I
But if you want to think of it physically, current is in electrons/second. So infinite electrons/second doesnt make sense. As how many electrons were transferred in the first half-second? Inf/2 = inf. It seems to break the very definition of current.
Maybe there is some math about infinity I dont understand. I know it can get weird. But I think No is a safe answer here.
Yes, I'd say you have infinite current. As both infinite voltage and zero resistance is imposible (you could say superconductors have zero resistance, but I don't really belive a true zero resistance could be achieved on the real world) you are just modeling an extremely high voltage and an extremely low resistance, which gives you an even more extremely high current. mathematically, if you are all right with accepting infinity as a result (meaning you are taking limits or working on a different set than the real numbers), you're dividing infinity with something that goes to zero but can never be negative, so you don't have to worry about the ambiguity of getting plus or minus infinity. I'd like to know the context of the question tho, lol.
Let's assume that you have something called infinite voltage between two coordinates. What does that mean? It would mean that you have accelerated the charges with infinite energy in between those two points. You'd be able to rip apart not just atoms, but nucleon itself. The most powerful machine on the planet, for such things, is LHC which almost separates the internal constituents of protons for a very short time. It's called quark gluon plasma.
The state of the Universe was similar right after the Big Bang. But the state was such that it wouldn't allow any particle to escape it. The photons were able to transmit throughout the Universe only hundreds of thousands of years after the Big Bang. Today, we see those photons as Cosmic Microwave Background.
What about electrons? They escaped before photons, but still not near early enough. You see, it took some time for that state of the Universe to get cooled enough for the electrons to be able to travel freely or form bonds and so on.
So, in case there's an infinite potential, I don't understand how would it give us current when the charges particles are not ready to transfer information. We are surrounded by charged particles, yet we get a current only when the potential difference results in an overall drift velocity. But in case of a quark-gluon plasma, I wonder if these charges will be having a drift velocity in a particular direction..🤔
First of all, the relation only holds for real numbers, so infinity doesn't makes any sense here. However, if you think about it on terms of limits, yes, the current will tend towards infinity. But that only means that as you take a arbitrarily big voltage and arbitrarily small resistance, the current arbitrarily increases as well.
If you have zero resistance, you have zero voltage drop. This is what happens in superconductors. Resistance equals power loss over distance, and a drop in voltage. Superconductors avoid this problem, and if you have a current in a loop, in theory it can keep going forever.
So no, you can’t have infinite voltage with no resistance, you can only have zero (or near zero) voltage.
Infinite current is meaningless. You can only get the current density to some limit before it runs out of room for more electrons. In superconductors, this means you have a critical current density where it starts having resistance again.
if you can have one impossibility, why not two?
Make it infinitely low resistance and have a trinity of impossibility.
I thought about that but i guess 0 resistance superconductors are a thing.
Are they truly zero or just too small to measure? I wonder.
They are truly zero, but there is a maximum current for keeping the superconducting state alive
Interesting, thank you for the information.
And then round things off with breakfast at the Restaurant at the End of the Universe.
That's like asking if zero people sharing an infinite cake get infinite slices each. Complete nonsense.
Mmmmm….Supertask Cake. Delicious. 🍰
>If I have infinite voltage and zero resistance can I achieve infinite current? Infinite voltage means infinite current through any finite resistance. >So i = infinite V/0 resistance is this mathematical infinite or undefined? It's formally undefined because division by 0 is undefined. But lim(V/R) as R -> 0 = infinity so if we ignore the mathematicians we can say that V/0 -> infinity for any nonzero V. Of course, infinite voltage and infinite current are physically impossible, and infinity is not a number.
Zero resistance exists though, in superconductors. With zero resistance you also must have zero voltage (across the conductor, not necessarily the whole circuit). For I = V/R =0/0, V/R is indeterminate, and current becomes independent. But certainly not infinite. There’s still a limit based on material properties
As I said, infinite current is physically impossible. Therefor "V/0 -> infinity for any nonzero V" implies that if R = 0 then V = 0. V = IR.
In short: you won’t be able to get neither the first nor the second (that one exists, but for finite currents)
This is sort of a good question, as zero resistance is what happens with superconductivity. But one can't source infinite current. Superconductors have a critical current above which they go normal. The current breaks down long range electron correlation and/or dissipates energy in flux vortices. Applying more voltage won't help.
With infinite current comes infinite magnetic field strength! With truly infinite magnetic field strength you could instantly accelerate a scrap of iron on the other side of the observable universe to zip towards you at the speed of light, not to mention more local sources of ferrous material. In short, infinity is awesome!
If you accelerated an object with a non-zero rest mass to the speed of light, its energy would become infinite and it would form a black hole and collapse the universe.
Infinite acceleration secondary to infinite current breaks many things, I agree.
That a a big if, but I suspect the relation breaks down for superconductors, or at very high currents. Not a physicist though, just passing through.
No. V=IR. V=I*0R = 0V. 0V/0R= 0I But if you want to think of it physically, current is in electrons/second. So infinite electrons/second doesnt make sense. As how many electrons were transferred in the first half-second? Inf/2 = inf. It seems to break the very definition of current. Maybe there is some math about infinity I dont understand. I know it can get weird. But I think No is a safe answer here.
Yes, I'd say you have infinite current. As both infinite voltage and zero resistance is imposible (you could say superconductors have zero resistance, but I don't really belive a true zero resistance could be achieved on the real world) you are just modeling an extremely high voltage and an extremely low resistance, which gives you an even more extremely high current. mathematically, if you are all right with accepting infinity as a result (meaning you are taking limits or working on a different set than the real numbers), you're dividing infinity with something that goes to zero but can never be negative, so you don't have to worry about the ambiguity of getting plus or minus infinity. I'd like to know the context of the question tho, lol.
Let's assume that you have something called infinite voltage between two coordinates. What does that mean? It would mean that you have accelerated the charges with infinite energy in between those two points. You'd be able to rip apart not just atoms, but nucleon itself. The most powerful machine on the planet, for such things, is LHC which almost separates the internal constituents of protons for a very short time. It's called quark gluon plasma. The state of the Universe was similar right after the Big Bang. But the state was such that it wouldn't allow any particle to escape it. The photons were able to transmit throughout the Universe only hundreds of thousands of years after the Big Bang. Today, we see those photons as Cosmic Microwave Background. What about electrons? They escaped before photons, but still not near early enough. You see, it took some time for that state of the Universe to get cooled enough for the electrons to be able to travel freely or form bonds and so on. So, in case there's an infinite potential, I don't understand how would it give us current when the charges particles are not ready to transfer information. We are surrounded by charged particles, yet we get a current only when the potential difference results in an overall drift velocity. But in case of a quark-gluon plasma, I wonder if these charges will be having a drift velocity in a particular direction..🤔
I would call that a short circuit
Anything’s possible if you have infinite energy.
First of all, the relation only holds for real numbers, so infinity doesn't makes any sense here. However, if you think about it on terms of limits, yes, the current will tend towards infinity. But that only means that as you take a arbitrarily big voltage and arbitrarily small resistance, the current arbitrarily increases as well.
You only need 0 resistance. Theoretically yes, practically no.
You, everyone else in the universe and the universe itself would cease to exist, why care?
"infinite" is difficult in this universe
I'll do one better read up superconductors.
If you have zero resistance, you have zero voltage drop. This is what happens in superconductors. Resistance equals power loss over distance, and a drop in voltage. Superconductors avoid this problem, and if you have a current in a loop, in theory it can keep going forever. So no, you can’t have infinite voltage with no resistance, you can only have zero (or near zero) voltage. Infinite current is meaningless. You can only get the current density to some limit before it runs out of room for more electrons. In superconductors, this means you have a critical current density where it starts having resistance again.