How do Kirchhoff's Rules apply to a circuit with multiple resistors in series?

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Homework Help Overview

The discussion revolves around applying Kirchhoff's Rules to a circuit with multiple resistors in series. Participants are examining the relationships between current and voltage in the context of the given circuit parameters.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to apply Kirchhoff's Junction and Loop Rules but expresses confusion about formulating the loop rule. Some participants question the relationships between different currents in the circuit and seek clarification on the implications of the loop rule.

Discussion Status

Participants are actively engaging with the concepts, with some providing guidance on the loop rule and questioning the assumptions made about current flow through resistors. There is an exploration of the implications of current relationships, but no consensus has been reached.

Contextual Notes

The discussion highlights potential misunderstandings regarding current flow in series circuits and the application of Kirchhoff's Rules, with participants considering the implications of their assumptions.

Sylvia
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Homework Statement


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Consider the circuit above. You are given the following measured values:
V = 1.5 V
R1 = 100
omegacap.gif

R2 = 100
omegacap.gif

R3 = 50
omegacap.gif

R4 = 50
omegacap.gif

R5 = 50
omegacap.gif


Homework Equations


Kirchhoff's Loop Rule and Junction Rule

The Attempt at a Solution



I tried setting this up using the junction and loop rule.
At the first junction (between R1 and R3), I have I1 = I2 + I3. At the second junction, after R5, I have I5 + I2 = Io (Io is the current entering the battery again).
I do not understand what the loop rule should be written as and then how to put it all together. Please help!
 
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Your I5 and I3, and also Io and I1 are related - how?

What does the Loop Rule state?
 
The loop rule states that the sum of the potential differences around the circuit is 0. Is I3 = -I5? And also I1 = -Io?
 
Sylvia said:
The loop rule states that the sum of the potential differences around the circuit is 0. Is I3 = -I5? And also I1 = -Io?
The loop rule states that the sum of potential differences is zero around a loop.

I3 = - I5 would mean that the current flows into R4 from both sides and the charges accumulate there. Is it possible? The current flows through a resistor, enters at one terminal and leaves at the other. What do you know about the current flowing through resistors connected in series?
 

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