Behavior of a circuit when values increase or decrease

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Homework Help Overview

The discussion revolves around analyzing the behavior of a circuit in response to changes in resistance and voltage values. Participants are exploring how these changes affect current flow through various components in the circuit.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to determine the relationships between changes in resistance and current flow through different resistors and the battery. Questions are raised about the correctness of assumptions regarding current conservation and equivalent resistance.

Discussion Status

The discussion is ongoing, with participants expressing uncertainty about their reasoning. Some have provided conflicting interpretations of how changes in resistance affect current, indicating a lack of consensus. Guidance has been offered regarding the implications of combining resistors into an equivalent resistance.

Contextual Notes

Participants are working within the constraints of a homework assignment, which may limit the information available for analysis. The original poster expresses confusion about their initial conclusions and seeks clarification on specific relationships in the circuit.

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Homework Statement


Consider the behavior of the circuit, when various values increase or decrease.
(Select I-increases, D-decreases, If the first is I and the rest D, enter IDDDDD).

A) If R3 decreases, the current through R4 ___.
B) If R3 decreases, the current from the battery ___.
C) If R1 decreases, the current through R3 ___.
D) If the voltage V decreases, the total current from the battery ___.
E) If R1 decreases, the current through R6 ___.
F) If R6 decreases, the power output from the battery ___.


Homework Equations


P = VI
V = IR


The Attempt at a Solution


A) I = V/(R3+R4+R5) so if R3 decreases, the current through R4 increases
B) If the current through R4 increases, the current through the battery decreases (conserved)
C) increases (because current from R1 increases)
D) V = IR, so if V decreases, I decreases
E) increases (same as C)
F) If R6 decreases, current increases, so power increases.

So, IDIDII. But this is wrong, and I'm not sure which one I'm not understanding correctly. The diagram is attached!
 

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B) If the current through R4 increases, the current through the battery decreases (conserved)

I don't know if this is correct. If you were to combine R3, R4 and R5 into one equivalent resistor, lowering R3 would lower the equivalent resistance, thus increasing current from the battery, so I think your part B is wrong. Although I could be wrong.
 
I understand what you are saying, but I tried IIIDII, and it's still wrong, so I think I'm still missing something...
 
A) If R3 decreases, the current through R4 ___.

Perhaps: If R3 decreases, more current would flow through R3, hence the current through R4 would decrease.
 

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