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You are asking why, if each line voltage to neutral is nearly identical (on a voltmeter), how there is a large voltage between lines?

The answer has to do with phase angle and how the voltages, on each line, are rapidly changing sinusoidal wave-forms. The voltages are rhythmically out of step on purpose.

Imagine three fast drummers that take turns making a single beat one after another with their left hands, yet maintaining a counter beat with their right hands. Or better yet, imagine three pistons on a crank-shaft pushing and pulling sequentially. They are not in step, and never in the same positions&direction at the same time.

What Nicolas Tesla invented allows three lines to carry 73% more power than a pair of lines! WOW!

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Q: Why are you getting voltage between one phase and another phase on a 3 phase system. should it be 0?
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