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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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Q: Three conductors draw respectivly currents of 1A 2A 4A when connected in turn across a batteryif they are connected in series the same battery what would be the current?
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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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