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In metal conductors, an electric current is a drift of free electrons from a negative to positive. Period! 'Conventional' current (positive to negative) is, as its name indicates, nothing more than a convention -based on an assumption made before the true nature of electricity was determined. In other words, it doesn't exist! So no experiment can 'prove' that conventional current exists because it doesn't exist!

The direction of conventional current was based on the assumption, by the likes of Benjamin Frankin, who assumed that an electric current was some sort of fluid which, of course, would flow from a high (positive) pressure to a low (negative) pressure. The discovery of the structure of the atom confirmed that a current (a flow of electrons, in metal conductors) flowed from negative to positive.

Think of it this way. When you look at a led display in a waiting room ('take a ticket'), are the illuminated leds moving to the right, or are the unilluminated leds moving to the left? Think of the illuminated leds as electron flow, and the unilluminated leds as conventional flow.

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