They push each other apart since their voltage drop analysis would dictate that each possesses a difference in voltage with respect to each other is my guess. This is why I sometimes find myself swapping the serial positions of two components in a simulation since different results are possible with each permutation. Their current is shared but their voltage is not. This is simple voltage division due to their serial position relative to each other and the polarity of the current and the polarity of the voltage plus any microscopic differences I assume exists between the two rods since no two electronic components are exactly the same. So, why should two copper rods be exactly the same? But voltage division assigning a left-hand and a right-hand to their serial (sequential) position is the main theme. So, in a sense, it shouldn't be a mystery at all! Just a lack of homework. ;-)
Not quite, and the exponent is why. The Ampère force goes as the square of the current, so it doesn't care which rod sits left or right, and it doesn't flip when you reverse polarity. Voltage division cares about both.
The rods carry the same current by construction anyway, and they're copper sitting in a mercury channel, which shorts out any potential difference you try to hold between them. Nothing static survives in that gap to push with.
The explanations that do compete aren't electrical. Thermal shock and magnetohydrodynamic pinch, which is why I said in the piece that Graneau didn't settle it.
The swapping of components refers to if they are different components not the same and so that would not apply in this case but was merely an example of the exhibition of voltage difference because in this example the two components are exactly the same so swapping them would not change anything but I still hold to voltage difference is the cause of the situation but does not fully explain the results what you add to it is the magnetohydrodynamics and thermal shock further explains the consequences of voltage difference driving the two rods apart but the initiation and the motivating force is voltage difference and here's the explanation the voltage gradient through the simple loop circuit puts a mathematical average of 0 volts in between the two rods as a consequence of one rod being the same magnitude of voltage as the other but of opposite polarity so one rod is positive while the other is negative and zero stands between them now zero is merely a mathematical average it is not the reality the reality is perturbations of various imbalances over time that causes the froth of the universe so to speak the baseline noise of the universe that is considered to be quantum in nature but it really doesn't matter whether we call it quantum or femto or Pico the scale doesn't matter what matters is that it's small and that it varies over time but that variation over time creates the thermal shock necessary and the pressure the thermal pressure necessary to push the two rods apart using standard magnetohydrodynamic principles of the liquid mercury but what put that froth that boiling froth there in the first place is something called a virtual ground in which it might be zero volts on average over time but at any particular moment in Time it is nearly zero but not exactly and not consistently zero because it changes with a zero overall average and that's what creates the Dynamics but it's nearly zero so it's the froth of the universe so to speak and that creates turbulence in no uncertain terms because it's at the dividing line between the positive rod and the negative rod because it's nearly zero it's considered a virtual ground even though it's not an official ground and that points out another sidebar that's not related to your post but is related to my study of ground electrical grounds are sometimes an additional contribution to a circuit's energy because they're zero but they're only zero as a mathematical average over time in reality potentially they are the source of the froth of the universe in other words a source of turbulence that can be harnessed to initiate oscillations across them and if the wave mechanic is designed to accumulate rather than dissipate then that oscillation will build rather than not exist at all or diminish but the fact that the turbulence is potentially there is what this experiment by [strikeout]Ampere[/strikeout] [replace with: Graneau] is exhibiting and that turbulence is a potential source of energy that is used to push the rods apart which in a sense is over unity you know the appearance of over unity but it's not really over unity over time because it mathematically averages out and thus supports conservation of energy but at any moment in time conservation of energy is not applicable and that creates the turbulence that's when conservation of energy does not apply to any particular moment in time when the turbulence is arising even though it's microscopic or quantum or whatever size of scale it is it's there really small and it changes over time and that drives the turbulence and so that shows that a ground rod is the point of turbulence (very small) that could be harnessed to become something larger but that's a sidebar the main theme is that the fact that the rods are sitting in Mercury doesn't require a whole lot of turbulence to push them apart but it does show apparent over unity even though it's chaotic it also shows chaos and that's a prime feature of nonlinear Dynamics and the appearance of other unity from one moment compared to the next moment because it's overall over time there is no over unity but from one moment compared to the next there is so it's really a question of discreet analysis that produces the appearance of over unity rather than the overall big picture which does not.
They push each other apart since their voltage drop analysis would dictate that each possesses a difference in voltage with respect to each other is my guess. This is why I sometimes find myself swapping the serial positions of two components in a simulation since different results are possible with each permutation. Their current is shared but their voltage is not. This is simple voltage division due to their serial position relative to each other and the polarity of the current and the polarity of the voltage plus any microscopic differences I assume exists between the two rods since no two electronic components are exactly the same. So, why should two copper rods be exactly the same? But voltage division assigning a left-hand and a right-hand to their serial (sequential) position is the main theme. So, in a sense, it shouldn't be a mystery at all! Just a lack of homework. ;-)
Not quite, and the exponent is why. The Ampère force goes as the square of the current, so it doesn't care which rod sits left or right, and it doesn't flip when you reverse polarity. Voltage division cares about both.
The rods carry the same current by construction anyway, and they're copper sitting in a mercury channel, which shorts out any potential difference you try to hold between them. Nothing static survives in that gap to push with.
The explanations that do compete aren't electrical. Thermal shock and magnetohydrodynamic pinch, which is why I said in the piece that Graneau didn't settle it.
The swapping of components refers to if they are different components not the same and so that would not apply in this case but was merely an example of the exhibition of voltage difference because in this example the two components are exactly the same so swapping them would not change anything but I still hold to voltage difference is the cause of the situation but does not fully explain the results what you add to it is the magnetohydrodynamics and thermal shock further explains the consequences of voltage difference driving the two rods apart but the initiation and the motivating force is voltage difference and here's the explanation the voltage gradient through the simple loop circuit puts a mathematical average of 0 volts in between the two rods as a consequence of one rod being the same magnitude of voltage as the other but of opposite polarity so one rod is positive while the other is negative and zero stands between them now zero is merely a mathematical average it is not the reality the reality is perturbations of various imbalances over time that causes the froth of the universe so to speak the baseline noise of the universe that is considered to be quantum in nature but it really doesn't matter whether we call it quantum or femto or Pico the scale doesn't matter what matters is that it's small and that it varies over time but that variation over time creates the thermal shock necessary and the pressure the thermal pressure necessary to push the two rods apart using standard magnetohydrodynamic principles of the liquid mercury but what put that froth that boiling froth there in the first place is something called a virtual ground in which it might be zero volts on average over time but at any particular moment in Time it is nearly zero but not exactly and not consistently zero because it changes with a zero overall average and that's what creates the Dynamics but it's nearly zero so it's the froth of the universe so to speak and that creates turbulence in no uncertain terms because it's at the dividing line between the positive rod and the negative rod because it's nearly zero it's considered a virtual ground even though it's not an official ground and that points out another sidebar that's not related to your post but is related to my study of ground electrical grounds are sometimes an additional contribution to a circuit's energy because they're zero but they're only zero as a mathematical average over time in reality potentially they are the source of the froth of the universe in other words a source of turbulence that can be harnessed to initiate oscillations across them and if the wave mechanic is designed to accumulate rather than dissipate then that oscillation will build rather than not exist at all or diminish but the fact that the turbulence is potentially there is what this experiment by [strikeout]Ampere[/strikeout] [replace with: Graneau] is exhibiting and that turbulence is a potential source of energy that is used to push the rods apart which in a sense is over unity you know the appearance of over unity but it's not really over unity over time because it mathematically averages out and thus supports conservation of energy but at any moment in time conservation of energy is not applicable and that creates the turbulence that's when conservation of energy does not apply to any particular moment in time when the turbulence is arising even though it's microscopic or quantum or whatever size of scale it is it's there really small and it changes over time and that drives the turbulence and so that shows that a ground rod is the point of turbulence (very small) that could be harnessed to become something larger but that's a sidebar the main theme is that the fact that the rods are sitting in Mercury doesn't require a whole lot of turbulence to push them apart but it does show apparent over unity even though it's chaotic it also shows chaos and that's a prime feature of nonlinear Dynamics and the appearance of other unity from one moment compared to the next moment because it's overall over time there is no over unity but from one moment compared to the next there is so it's really a question of discreet analysis that produces the appearance of over unity rather than the overall big picture which does not.
I attempted an approximate behavior of this experiment of Graneau in a simulated context:
https://vinyasi.substack.com/p/simulating-graneaus-copper-bars-experiment