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One route: series
Two 1000-ohm resistors in series give the current one path. Their resistances add to 2000 ohms.
1000 + 1000 = 2000 Ω
Two routes: parallel
Two equal 1000-ohm resistors in parallel give two paths between the same nodes. The total is 500 ohms.
1000 Ω ∥ 1000 Ω = 500 Ω
What stays the same?
Series components share the same current. Parallel branches share the same voltage across their endpoints.
Series: current · parallel: voltage
Draw the nodes
The electrical connections matter more than the shape of the drawing. Trace which terminals share a node.
Trace the nodes
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