Hi Eric,
I have to disagree about the angels and pin thing for this particular questionable thing, because laboratories have in the past taken up this venture. We are not the only ones to ask this.
How about this simple argument:
We have a capactor with 2 units of charge on the left plate, and 2 units of charge on the right plate. Using a current source, we push 1 more unit of charge onto the right plate and pull 1 unit off of the left plate, so that leaves 1 unit on the left plate and 3 units on the right plate, then we remove the current source. The cap overall charge is still 4 units, but now we see a potential difference across the cap due to an imbalance of charge.
And all that took place without ever having to move even a tiny amount of charge THROUGH the cap and all charge can be accounted for.
Now lets look at what happens if we let 1 unit pass THOUGH the cap...
2 units on the left, 2 on the right, using current source push one more onto the right plate, pull one off the left plate, let one pass THROUGH the cap vacuum.
Since we had 2 on the right to start and we added 1, we would have a total of 3 but this time we let 1 pass through the cap from right to left. That one had to land on the left plate. So after we remove the current source this time we still have 2 units on the right plate. Now we also removed one from the left plate but we also added one from the unit that got THROUGH the cap vacuum, so we have a total of 2 on the left plate now.
So in the end this time we have 2 on the left and 2 on the right, hence we have no difference in charge distribution and therefore we can not have a voltage difference across the cap this time.
So compare these two with what is observed in nature and we find that the first experiment works and the second one fails. The first one works because we measure a voltage across the cap in the end, and the second one fails because we do NOT measure a voltage across the cap after the application and subsequent removal of the current source.
One man's pedantic is another man's raconteur
