Current Through R1 and R3: Explained

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Discussion Overview

The discussion revolves around the behavior of current in a circuit involving resistors R1, R2, and R3, particularly focusing on the relationship between R1 and R3, and the implications of having R2 in parallel with a wire. Participants explore concepts related to series and parallel circuits, short circuits, and the application of Ohm's Law.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Homework-related

Main Points Raised

  • Some participants propose that the current through R1 is the same as that through R3, suggesting they are in series, under the assumption that there are no additional circuit elements beyond points A and B.
  • Others clarify that R2 is effectively shorted when a wire is placed in parallel with it, leading to a potential difference of zero across R2, which results in no current flowing through it.
  • One participant questions how current determines its path, referencing the idea that "the current takes the less difficult path," and seeks clarification on how this decision is made at the electron level.
  • Another participant introduces a hypothetical scenario where the wire in parallel with R2 has a resistance R4, prompting a calculation of the equivalent resistance when R4 approaches zero.

Areas of Agreement / Disagreement

Participants generally agree on the concept that R2 is shorted and does not draw current, but there is ongoing debate regarding the nature of current flow and how it "decides" its path in the circuit. The discussion remains unresolved regarding the underlying mechanisms of current behavior.

Contextual Notes

Some assumptions about circuit conditions, such as the open circuit at A-B and the presence of potential differences, are not fully detailed, which may affect the interpretations of current flow.

archaic
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Moved from a technical forum, no template.
Hey guys, in the picture below, the current flowing through R1 is the same flowing through R3 right? And hence we have R1 and R3 in series?
th3.png

In this second picture R2 is going to cancel out because apparently that's what happens when you have a branch containing components parallel with a wire, why is that?
th4.png
 

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archaic said:
Hey guys, in the picture below, the current flowing through R1 is the same flowing through R3 right? And hence we have R1 and R3 in series?
Right, assuming that there are no circuit elements beyond points A and B.
archaic said:
In this second picture R2 is going to cancel out because apparently that's what happens when you have a branch parallel with a wire, why is that?
That's because R2 is shorted, i.e. the potential difference across it zero (think of the straight wire as an equipotential). Ohm's Law says V = IR. Here, V = 0 therefore I = 0 and R2 draws no current, assuming that there is a potential difference between A and B.
 
Please use the homework forum, and please fill out the template provided when you create a homework thread.

In the top diagram, provided that A-B is open circuit (no current), then the answer is yes. You are correct.

archaic said:
In this second picture R2 is going to cancel out because apparently that's what happens when you have a branch parallel with a wire, why is that?
How much current flows through R2 in the second picture?
 
kuruman said:
Right, assuming that there are no circuit elements beyond points A and B.
Yes, it's an open circuit, but this is part of a Thevenin's theorem exercise so we're assuming there's an open circuit voltage at the terminals A and B.

kuruman said:
That's because R2 is shorted, i.e. the potential difference across it zero (think of the straight wire as an equipotential). Ohm's Law says V = IR. Here, V = 0 therefore I = 0 and R2 draws no current, assuming that there is a potential difference between A and B.
anorlunda said:
How much current flows through R2 in the second picture?
Well as kuruman said the current is 0, the explanation we were given is "the current takes the less difficult path" but how would it know which one it is?
 
archaic said:
Well as kuruman said the current is 0, the explanation we were given is "the current takes the less difficult path" but how would it know which one it is?
Well, how much resistance is there in a short circuit?
 
phinds said:
Well, how much resistance is there in a short circuit?
0 of course.
 
archaic said:
0 of course.
And you are having a hard time figuring out whether this is less than R2?
 
phinds said:
And you are having a hard time figuring out whether this is less than R2?
No but I want to know how electrons figure it out before going through the wire.
 
Change it a bit. Think of the wire in parallel with R2 as having resistance R4. Then calculate the equation for R2 in parallel with R4. Then set R4=0, how much is resistance is R2 in parallel with R4?
 
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