Simplifying Circuit Diagrams: Understanding Topology and Resistor Placement

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Homework Help Overview

The discussion revolves around simplifying circuit diagrams, specifically focusing on the topology and placement of resistors. The original poster seeks clarification on whether two drawn circuits are equivalent, as they prepare for the MCAT.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the implications of moving wires in circuit diagrams and how it affects the configuration of resistors in series or parallel. There is a question about the equivalence of circuits based on their topology.

Discussion Status

Some participants have provided guidance on the concept of circuit topology, indicating that moving wires does not change the circuit as long as the connections at nodes remain intact. There is an exploration of different interpretations regarding the movement of wires and its impact on circuit behavior.

Contextual Notes

The original poster mentions that this is not a homework problem but rather a study question for the MCAT, which may influence the nature of the discussion and the level of detail sought.

johnj7
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Homework Statement


This is not a homework problem, but I'm studying for the mcat, and had some trouble figuring out how to simplify a circuit. Could someone look at the attached picture pdf? (the diagram is painless, i promise) Are the circuits I have drawn the same?

Thank you!
 

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It may take awhile to get your attachment approved. I would suggest uploading the diagram to a photobucket account (or something of the sort), and posting the link.
 
johnj7 said:

Homework Statement


This is not a homework problem, but I'm studying for the mcat, and had some trouble figuring out how to simplify a circuit. Could someone look at the attached picture pdf? (the diagram is painless, i promise) Are the circuits I have drawn the same?

Thank you!

All the resistors with values are connected to the same node in your drawing. Why wouldn't they be the same?
 
hmm, well i just thought it was a bit confusing, i didn't know you could move wires around like that, because maybe that would change which resistors are in series or in parallel. but i guess that's not true at all.

so bottom line is, you can move the wires however you like as long as its just wire and no resistors are moved/replaced?
 
johnj7 said:
hmm, well i just thought it was a bit confusing, i didn't know you could move wires around like that, because maybe that would change which resistors are in series or in parallel. but i guess that's not true at all.

so bottom line is, you can move the wires however you like as long as its just wire and no resistors are moved/replaced?

The key is topology as to which components are connected to which nodes. If you change that - you changed the circuit. But so long as the terminals are connected together at any node ... it really doesn't matter. (In high speed digital circuit layouts, it might for different reasons, like speed and noise. But for these kinds of DC circuits not.)
 

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