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Since the formal current flow is reverted, the zero potential should be (+) while number of electrons cumulated on (-) side of the power source should determine the voltage value.

If I understand correctly, there is a formal rule that current (stream of electrons) flows from (+) to (-),

electrons flow from (-) to (+).

we know that the real current flow is reverted, but were are building circuits like if the formal flow was the real one.

My question boils down to this: shouldn't we be connecting all cathodes together instead of anodes?

While building something, don't bother Yourself with how electrons actually flow as it will get confusing.

Negative terminal has low potential because it already is full of extra electrons, hence its potential to take more is low. Positive terminal is high potential as it has plenty of space to take potentially incoming electrons. Now, if You compare high and low potentials, low potential relatively is 0 as it cannot take any electrons from the high potential.

Regarding to connecting positive terminals together instead of negative ones, take a look this simulation

QuoteIf I understand correctly, there is a formal rule that current (stream of electrons) flows from (+) to (-), False, in electronics the typical notation is the current flows from (+) to (-). This has been arbitrarily agreed upon and it fact it does not matter which direction used for the notation of current flow as long as it is consistent. Quote electrons flow from (-) to (+).True- but this fact is not really needed in the study of electronic circuits. This fact is however required in the study of semiconductors.Quotewe know that the real current flow is reverted, but were are building circuits like if the formal flow was the real one.Again, Current flow is arbitrarily determined. Electron flow is from the negative source, through the circuit to the positive source. Do not confuse the two as being the same. Current flow is just a notation whereas electron flow is Physics.QuoteMy question boils down to this: shouldn't we be connecting all cathodes together instead of anodes? Circuits can be built either way and some circuits have both.Consider circuits that have a signal that varies above and below the 'common' or zero potential. AC coupled Audio is a common type of signal. For example:http://www.allaboutcircuits.com/vol_6/chpt_6/10.htmlThis circuit has a 'common' (Ground) and a two supplies (voltage sources), one that connects to the 'common' and +V, the other to the 'common' and -V. For the top half of the circuit the supply is positive with respect to the 'common' but for the bottom half of the circuit the supply is negative with respect the the 'common'.

My question boils down to this: shouldn't we be connecting all cathodes together instead of anodes?Since the formal current flow is reverted, the zero potential should be (+) while number of electrons cumulated on (-) side of the power source should determine the voltage value.