Engineering Thevenin Circuit: Understanding Parallel and Series Paths in Resistors

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R2 and R3 are considered in parallel because current can flow through them without passing through each other, allowing for multiple paths. In contrast, R1 and R3 are in series because all current flowing through R1 must also flow through R3, indicating a single path. Understanding these configurations is crucial for analyzing circuits effectively. The distinction between parallel and series paths helps clarify the behavior of voltage and current in the circuit. This knowledge is essential for applying Thevenin's theorem in circuit analysis.
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Can someone explain (in terms of the voltage and current if possible), why R3 and R2 are in parallel and why R1 and R3 are in series?

Thanks
 
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Hi influx. It is not really correct to state anyone of these resistors to be in series with another one here.

It often is clearer if you think in terms of parallel and series paths. If you can find a route that allows current to flow from one end of a resistor to the [node at the] other end of that resistor, and without passing through that resistor, you have found a parallel path.

If all current that passes through a particular resistor must also pass through another resistor (and vice-versa) then those two resistors are in series.
 
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