Smart $ said:
Should one circuit not be operating while the other is, the VD would [nearly...] double [...in the case of L2].
I don't mean to seem argumentative, I just like discussing this stuff. :smile: Wouldn't de-energizing one leg of a MWBC merely displace the voltage drop from the de-energized line to the neutral?
It seems to me that you'd have to "convert" a 3-wire circuit into two 2-wire circuits for the VD to double. But we're discussing de-energizing one line of a 3-wire MWBC, halving the voltage across half the resistance: same current.
You could theoretically remove the neutral connection of a genuinely balanced MWBC, resulting in the equivalent of twice the voltage across twice the resistance, with the resultant total current equal on each line either way.
The line current is equal in both legs of any circuit, so the VD of either one 2-wire circuit or a balanced (zero neutral current) MWBC would be the same, i.e., that of two conductors with a given current.
Understanding that the loads will be staggered along the run, look at the current on the neutral. An interesting thing happens: the greatest neutral current should be between each pair of loads. Follow me on this one.
The last pair of loads should have a net zero neutral current fromn the source; all of it would be in the length of run between the last two loads. Likewise, the next-to-last pair would have their neutral current only between them.
In theory (mine, anyway), the only neutral current there should be (with even staggering) is that caused by the resistance of the difference in wire length between the first load on each leg.
Everything else is pairs of 120-volt loads in series. The source neutral current is caused by the extra wire in the longer leg, which (were the neutral opened) would result in the voltage at the mid-point moving away from zero volts to earth.
Even staging wire size, the neutral current of each pair should be a net of zero, balancing at the point halfway between load pairs. The voltage at this midpoint should be halfway between that at the load hot points.
That these two voltages will be slightly different, relative to earth, is why the midpoint voltage will be slightly above zero to earth, which is where the neutral comes into play. As in any unbalanced MWBC, the neutral current is the result of pulling the neutral voltage back to zero.
Did you enjoy the journey into my universe? :wink: