Are the resistors in series vs in parallel?

Nov 2016
3
0
1. The problem statement, all variables and given/known data A metal wire of resistance R is cut into two pieces of equal length. The two pieces are connected together side by side. What is the resistance of the two connected wires?
2. Relevant equations RSeries = R1 + R2 + ... RParallel = (1/R1 + 1/R2 + ...)-1
3. The attempt at a solution Initially I thought that, being connected side by side, the same current would be passing through both halves of the wire thus making them resistors in series. However, the answer turns out to be R/4 as a because they are apparently in parallel. Can someone explain how we know?
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Last edited:
Aug 2010
434
174
You say the wires are "connected together side by side". Are we to assume they are insulated so this does not just form one short wire? If so then, yes, the two wires are parallel so this is the same as to resistors "in parallel".

You say "the same current would be passing through both halves of the wire thus making them resistors in series." Where did you get the idea that "the same current" means they are "in series"?
 
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