The equivalent resistance for the resistors in this circuit?

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Homework Help Overview

The discussion revolves around calculating the equivalent resistance of a circuit containing both series and parallel resistors. Participants are analyzing a specific configuration of resistors with values provided, while also considering the implications of the circuit's setup.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants attempt to calculate equivalent resistances for groups of resistors, questioning the interpretation of their connections. Some express uncertainty about the mathematical representation of parallel connections and the implications of missing voltage values.

Discussion Status

The discussion is ongoing, with various interpretations of the circuit being explored. Some participants suggest creating unknowns for voltages and currents, while others hint at using concepts like potential dividers and symmetry to approach the problem. No consensus has been reached yet.

Contextual Notes

There is mention of neglecting the battery's internal resistance, and some participants note the vagueness of the question due to the absence of specific voltage values.

Islam Sabry
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Homework Statement


If the circuit of parallel and series resistors , is as follows , what's the equivalent resistance for the group?

Homework Equations


neglecting the battery internal resistance... irrelevant to the question.

The Attempt at a Solution


I tried to do the following
R1=8+12=20 ohms
R2=4+6=10 ohms
R3=9 ohms
then,
R(equivalent)= R1//R2//R3

but I'm not sure!
 

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Islam Sabry said:

Homework Statement


If the circuit of parallel and series resistors , is as follows , what's the equivalent resistance for the group?

Homework Equations


neglecting the battery internal resistance... irrelevant to the question.

The Attempt at a Solution


I tried to do the following
R1=8+12=20 ohms
R2=4+6=10 ohms
R3=9 ohms
then,
R(equivalent)= R1//R2//R3

but I'm not sure!
I am not sure how the double slashes in R1//R2//R3 are interpreted mathematically. Can you imagine what the potential difference across the 9 Ω resistor might be?
 
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means that R1 , R2, and R3 are connected in parallel ... and the question contains no voltage value..sorry if it's vague.
 
Islam Sabry said:
R1=8+12=20 ohms
True, but not useful since the current is not flowing through these two in turn.
Create unknowns for all the voltages and currents, write down all the equations, and solve.
 
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Likes   Reactions: Islam Sabry
For this circuit there is an easy way to solve it. Take a look at the resistor values and think about potential dividers and symmetry.
 
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Likes   Reactions: Islam Sabry and gneill
Islam Sabry said:

Homework Statement


If the circuit of parallel and series resistors , is as follows , what's the equivalent resistance for the group?

Homework Equations


neglecting the battery internal resistance... irrelevant to the question.

The Attempt at a Solution


I tried to do the following
R1=8+12=20 ohms
R2=4+6=10 ohms
R3=9 ohms
then,
R(equivalent)= R1//R2//R3

but I'm not sure!
Denote the nodes where the 9 Ω resistor is connected as X and Y.

Now imagine the circuit with the 9 Ω resistor temporarily removed. With the 9 Ω resistor gone, write expressions for the voltage at X and the voltage at Y.
 
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Likes   Reactions: Islam Sabry

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