Professor FALCON, It's been a long time ago in which I knew a bit about this stuff of which you speak but I believe you are referring to the "Electrolysis of water" .... which in itself is pretty damn interesting if one's miond is so inclined in this direction.
Actually the 'STREAM' itself (the water flowing from the faucet) is NOT split ... but the water is 'split' into Hydogen and Oxygen which resulted in the 'formation' of some form of electrical current which was used for something that I've long forgotter in the late 1800's. (I was out that day but I think that one guy wanted to create a pound and a half of some home-made gold bullion - or something).
I could be mistaken but I think most GetBiggers visualize that division of a single stream into two streams flowing independently, but that is not the way it should be thought of.
It is the 'division' of the water particles itself.
But this subject has been long forgotten so don't let my response stop you from any in-house water faucet experiments you may have in mind.
Where some fail ... Others succeed!
Post Notes for example!