Answer Posted / l a waygood

Let's get the terminology correct to start with.

The conductors that connect the load to the supply are LINES (or 'line conductors', NOT 'phases'! Which is why the voltages measured between them are called 'line voltages'.

PHASES are not conductors, but the connections, such as individual loads (or the windings of an alternator or transformer) between line conductors, or between a line conductor and the neutral.

So 'phase voltages' are measured between lines (in the case of a three-wire system) or between a line and a neutral (in the case of a four-wire system).

So we measure line voltages BETWEEN lines, and we measure phase voltages ACROSS phases.

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