Can electrons flow in opposite directions on the same wire, see schematic!

[stevensrd1]

I was wondering if electrons can flow in opposite directions along the same wire, and it seems to me they can. See my schematic to further understand, If you make the center wire that connects both motors to each battery separate, and watch the motor speed of each motor separately, then reconnect them so that the middle wire is only a single wire such as in the schematic, you will notice no speed change either way in the motors showing each motor is only being powered by a single battery, and that the electrons are taking the path of least resistance . And that also shows in the middle wire on the schematic connecting to both motors we have opposite electron flow along the same wire at the same time!

[IotaYodi]

Read this.
http://amasci.com/amateur/elecdir.html

[exnihiloest]

I was wondering if electrons can flow in opposite directions along the same wire, ...

Along the common wire there is no potential difference thus there is no current.
Remove this wire and you will understand what is going on: the current flows along the external circuit only.

[stevensrd1]

If I remove the middle wire that goes up and down, in the center, there is a change in motor speed, a very noticeable change, thus showing that there is flow in the middle wire, the electron path follows the path drawn, if it did not follow the path drawn and if the middle wire going up and down where electrons flow in both directions had no flow, there would be no change in any motor speed if it was removed. It would be the same as if it did nothing. The electrons are taking the path of least resistance, as drawn,,and that shows that electrons can flow in opposite directions along the same wire at the same time.

[kmarinas86]

Along the common wire there is no potential difference thus there is no current.
Remove this wire and you will understand what is going on: the current flows along the external circuit only.

There is no net current in the common wire, but it is a way for charges to find a quicker, less resistive path to the back end of a battery.

If you consider that each individual charge effectively traces its own electric circuit, you will find the circuit presented is really a summation of innumerable electrical circuits overlapping each other - as many circuits as there are electrons in there. If you treat it that way, each electron moving through that common wire certainly undergoes a voltage drop. Now not all the electrons will move through that common wire. After all, electrons can and do gain and lose energy by transferring energy between themselves, allowing a bit of them to go through the longer path that includes both motors (at the top of the diagram).