from the more positive point to the less positive point in the circuit
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Conventional current flows from the positive terminal to the negative terminal.
This is because they thought that electricity was the flow of positively charged ions.
The discovery of the electron, however, made people realise that electricity is the flow of electrons, which are negatively charged.
The field of electrics was already set up for the flow of "positive charge" and since it make no difference on circuit analysis, the original direction was was renamed as 'conventional current'.
Answer
Current 'direction' refers to the assumed direction of current through the load (never through the source).
'Conventional current' predates any knowledge about atoms, electrons, or ions, so the original answer is incorrect. The origin of 'conventional current' dates back to when scientists, such as Benjamin, believed that an electric current was some sort of mysterious fluid which flowed from a higher pressure (''positive") to a lower pressure {"negative"). We now know that in metal conductors, that current is a drift of free electrons from negative to positive, so we use the term 'conventional flow' to distinguish Franklin's belief.
Unfortunately, many of the rules we use to determine the direction of magnetic fields were based on conventional flow direction and, so, many textbooks still retain that direction for traditional reasons, although there really is no need to do so.
AC current (alternating current) like in a wall outlet
The direction of the force that drives the machine is determined by the relative directions of the field and the armature current. By reversing the direction of both field and the armature current, the direction of the resulting force stays the same; you have to reverse the direction of one or the other; not both! Prove it for yourself, by applying Fleming's Left-Hand Rule (for conventional current flow); reverse the direction of both your first finger (field) and your second finger (armature current), and you thumb (direction of motion) will end up pointing in the same direction!
Not really. You can compare them with the analogy of water flowing through a pipe. For water to flow, there must be a pressure difference across the ends of the pipe. An electric current is a movement of electric charges along a conductor. For those charges to move, there must be a voltage (more accurately, a 'potential difference') across the ends of the conductor. So a potential difference is required to cause current to flow.
In an alternating current (AC) circuit, the electric charge periodically reverses direction at a certain frequency. This is in contrast to a direct current (DC) circuit, in which charge flows in one direction only.
Electrons are a negative charge. Using conventional notation current flows from positive to negative poles of a battery, for example. In electron flow convention the electrons flow from negative to positive.