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If three resistors draw currents of 1A, 2A, and 4A across an unknown voltage V, then by Ohm's law, the resistances are V/1, V/2, and V/4.

Place those three resistors in series, and the net resistance is V/1 + V/2 + V/4, which is 7V/4 ohms.

Place a resistance of 7V/4 ohms across a voltage source of V, and (again by Ohm's law) you get a current of V over 7V/4, or 4/7 A.

Note that you do not need to know V, because in the end, V cancels out.

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Is line to line voltage equal to line voltage?

Yes. By definition, a line-to-line voltage is indeed called a line voltage.For delta-connected, three-wire, systems comprise three line conductors. The line voltage is numerically equal to the phase voltage.For wye-connected, four-wire, systems comprise three line conductors and a neutral conductor. Any line-to-neutral voltage is called a phase voltage. The line voltage is 1.732 times the value of the phase voltage.


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A three-phase, four-wire, system consists of three 'hot' conductors which are called line conductors, and a neutral conductor, sourced from a wye (or 'star') connected alternator or transformer. For this type of system, line voltages exist between line conductors, and phase voltages exist between any line conductor and the neutral conductor.A three-phase, three-wire, system consists of three 'hot' conductors which are called line conductors, sourced from a delta (or 'mesh') connected alternator or transformer. For this type of system, the phases are connected between lines. Line voltages exist between line conductors, and these are numerically equal to the phase voltages.


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They are not. They are connected differently, and the voltages and currents behave in different ways.


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What is the difference between line to line voltage to line to ground voltage?

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