gneill
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Your "short circuits" are simply wires connecting components. There's nothing special about these wire connections. Neither of them are in parallel with any components in the strict definition of "parallel connection". Geometric layout on a drawing does not make things parallel; It's the connection topology that counts.
Contiguous wire pathways on a circuit diagram comprise nodes. It's the connections of components between nodes that define the circuit topology. You can stretch or bend or otherwise contort the drawing of these nodes in any fashion you like so long as you don't change what connects to them (components). You can move any connection to a given node to any location on the same node without changing the circuit topology.
You need to practice "morphing" circuit diagrams by bending or stretching node wires, or "sliding" connections along a node to make the circuit more easy to comprehend. With a bit of experience this will become much easier, and you'll wonder what all the fuss was about.
You should be able to follow three distinct paths from A to B on your original diagram. By distinct I mean that they each pass uniquely through a subset of the components, never passing through the same component twice or passing though a component that is covered by another path. Wires do not count as components: you are allowed to use the same wire for multiple paths. Those three distinct paths will be three parallel branches (in the strict definition of parallel connection) that connect node A to node B.
Contiguous wire pathways on a circuit diagram comprise nodes. It's the connections of components between nodes that define the circuit topology. You can stretch or bend or otherwise contort the drawing of these nodes in any fashion you like so long as you don't change what connects to them (components). You can move any connection to a given node to any location on the same node without changing the circuit topology.
You need to practice "morphing" circuit diagrams by bending or stretching node wires, or "sliding" connections along a node to make the circuit more easy to comprehend. With a bit of experience this will become much easier, and you'll wonder what all the fuss was about.
You should be able to follow three distinct paths from A to B on your original diagram. By distinct I mean that they each pass uniquely through a subset of the components, never passing through the same component twice or passing though a component that is covered by another path. Wires do not count as components: you are allowed to use the same wire for multiple paths. Those three distinct paths will be three parallel branches (in the strict definition of parallel connection) that connect node A to node B.
Was my post #6 totally in vain ?