I need this explained:
In a series circuit when you switch one load off, they are all off.
In a parallel circuit when one load is switched off, the others continue to operate normally.
A series circuit component has no more that one point in common the source.
A parallel circuit component has two points in common with the source.
Which of the above statements is false & causing my confusion ?
The red statement is not false, per se, but you're asking too much of it. It's not a definition. There are plenty of other arrangements where it is true. For example, loads connected to two completely different sources with absolutely no connection whatsoever (e.g. two flashlights) still satisfy the red statement, but are not a parallel circuit. Likewise, the red statement is true of loads on the different legs of an MWBC, but that doesn't mean it's a parallel circuit. Same with circuit arrangements than have a common return that isn't a neutral.
Now consider your blue statement, which is essentially correct. Do two loads on the two different parts of a 3 wire MWBC have
two points in common with any one source? No, they don't. They only have
one point in common with each other, which is the neutral. Black does not connect to red if you don't want a short circuit. Thus if the blue statement is true, an MWBC is not a parallel circuit.
To be paralleled,
both (or
all) of each conductor have to be joined together. i.e. black to black and white to white, and red to red if there is one (and so on). If you're just joining the neutral, it isn't the same arrangement. (I'm not too keen on the convention of referring to a parallel circuit in the singular. What you have, really, is parallel
ed circuit
s, i.e. two or more circuits that are combined into a single one somewhere. And BTW, you can parallel loads to the same source, or sources to the same load, or multiple sources and loads together on a complicated distribution system.)
To remind you of why it's not just semantics: in post #25 you said "
We know that, in a parallel circuit the voltage across each load is the same voltage as the source it is in parallel with." That is true in a parallel circuit because any two corresponding sets of conductors that you would be measuring voltage on go back to the
same two points. But the green statement would no longer be true if you go around saying that an MWBC is included in the definition of a parallel circuit. To repeat, the voltage across a load on black and white is
not the same as the voltage across a load on red and white, because they aren't paralleled to the same two points and thus not paralleled to the same source.