Series vs. Parallel: Understanding Resistor Configurations

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The resistors in the provided image cannot be classified as either series or parallel configurations. They function as a three-terminal device, making it impossible to combine them into a single resistor using standard rules. This unique topology prevents the creation of a two-terminal device, which would disrupt the circuit's integrity. The discussion highlights the complexity of certain resistor arrangements that defy conventional classification. Understanding these configurations is essential for accurate circuit analysis.
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Are these resistors in series or parallel?
http://img196.imageshack.us/img196/1043/seriesparallel.jpg
 
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Neither. These two resistors together can be viewed as a three-terminal device. There's no way to combine them into a single resistor via the rules for parallel and series resistors, because that would create a two-terminal device, and it would no longer fit into the circuit.

- Warren
 
chroot said:
Neither. These two resistors together can be viewed as a three-terminal device. There's no way to combine them into a single resistor via the rules for parallel and series resistors, because that would create a two-terminal device, and it would no longer fit into the circuit.

- Warren

Well, that's true, the two resistors don't combine by the rules for serial or parallel equivalence. I haven't been clever enough in obtaining the sort of ambiguous topology I have in mind, without changing the question.
 

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