Finding Equivalent Resistance in a Combination Circuit

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Homework Help Overview

The discussion revolves around finding the equivalent resistance of a combination circuit involving identical resistors between two points. Participants are examining the correct application of series and parallel resistance formulas in this context.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to derive the equivalent resistance using the formulas for series and parallel resistors. There is confusion regarding the correct interpretation of terms in the equations, particularly concerning the representation of resistors R1 and R3 in relation to R.

Discussion Status

The discussion is ongoing, with participants questioning the accuracy of the equations presented and the relationships between the resistors. Some guidance has been offered regarding the interpretation of terms, but there is no explicit consensus on the correct approach or solution yet.

Contextual Notes

There are no numerical values provided for the resistors, which adds complexity to the problem. Participants are encouraged to clarify the relationships between the resistors based on the circuit diagram.

Gemy4
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Homework Statement


What is the equivalent resistance of the combination of identical resistors between points a and b in the figure below?

Homework Equations


Series= Req= R1 + R2 + R3 etc
Parallel = Req= (1/R1 + 1/R2 + 1/R3 etc)^-1

The Attempt at a Solution


Req= R1 + (1/3R) + R3

I don't know what to do from here.
 

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Parallel= Req= R1 + R2 + R3 etc
Series= Req= (1/R1 + 1/R2 + 1/R3 etc)^-1

These equations are wrong. The correct ones are
series= Req= R1 + R2 + R3 etc
Parallel = Req= (1/R1 + 1/R2 + 1/R3 etc)^-1
 
Thank you is this correct I only have one more submission
 
Req= R1 + (1/3R) + R3
Check the second term in the equation.
 
I tried that answer already and it says "Check the syntax of your response".
 
rl.bhat said:
Req= R1 + (1/3R) + R3
Check the second term in the equation.

The second term is right if he means 1/3 R and not 1/(3R). However, what is R1 and R3 in terms of R? Can you simplify the equation?
 
There are no numerical values for R. I asked my friend and the correct answer is 2 + (3)^-1.

Not sure how she got it.
 
I know there are no numerical values for R, which is why I asked how R1 and R3 relate to R. Look at the diagram and figure out what R1 and R3 are in terms of R.
 

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