If I understand the question correctly, you’re asking “since electricity follows the shortest path, why does it bother venturing beyond the first complete circuit?”
Well, if the first circuit happens to be a ‘short-circuit’ (or a 100% shunt) then your intuition would be correct. The thing is, circuits aren’t all that usefull, unless they’re doing something. When you put a load on a circuit, then it offers some resistance to the flow of electricity. That saying you are thinking of, is actually “Electricity always follows the path of least resistance, to the great exclusion of all others.”
Let’s say you have two parallel circuits…
[A1]//switch\//load\[A2]
.…
.…
.…
.…
[B1]//switch\//load\[B2]
.…
.…
.…
.…
[C1]//////source\\\[C2]
Ignore the periods, they’re just space holders. The brackets are the wire. [X#] represents a connector.
Now, the first thing to consider is that since there is (virtually) no resistance between [A1], [B1] and [C1], they are electrically the same point. The same is true of [A2], [B2] and [C2]. Now, if you close the switch between [B1] and [B2] current flows through the load and back to the source. The load at [B1]-[B2] offers some resistance to the flow of electricity.
Now, open the [A1]-[A2] switch and the surplus current that was resisted at [B1]-[B2] makes its way through the [A1]-[A2] load, which also offers resistance.
You can imagine that the source is a water pump. If you open the gate at [B1], the water flows through an impeller (load) and has to work to get to the [B2] side. The resistance of the impeller means there is enough pressure on the inlet side, so that when you open the [A1] gate, there is enough left to drive the second impeller. If the pump is powerful enough, and/or the impellers offer enough resistance, you can keep adding circuits.
If you remove the load and simply put a big pipe between [B1] and [B2] then you have a short circuit and no work will be done at [A1]-[A2].
Clear as mud…
Stephen
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