How to draw a circuit from a word problem.

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Homework Help Overview

The problem involves determining the configuration of four identical 4Ω resistors that results in a total resistance of 4Ω. Participants are tasked with drawing a circuit diagram based on this scenario.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the classification of the circuit as either series or parallel and question the implications of this classification on total resistance. There are considerations of different combinations of resistors, including three in parallel and one in series, and the effects on total resistance.

Discussion Status

The discussion is ongoing, with participants exploring various configurations and questioning the assumptions about resistor arrangements. Some guidance has been offered regarding the addition of resistors in parallel and series, but no consensus has been reached on the correct configuration.

Contextual Notes

Participants are working within the constraints of the problem, specifically focusing on achieving a total resistance of 4Ω with the given resistors. There is an emphasis on exploring combinations rather than arriving at a definitive solution.

NeomiXD
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Homework Question:

Four identical 4Ω resistors have been connected in such a way that their total resistance is 4Ω. Draw a diagram to show how they are connected.

My Question:

How do you solve a question like this? How do you classify it as a parallel or series circuit or does it even matter?
 
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For resistors in series you add and in parallel you add the reciprocals right?

So automatically you can see that the four resistors are not all in series and not all in parallel right?

So what happens if you have three in parallel and one in series, what will happen? (greater, less or equal 4)

If it is equal to four then you stop, if not you continue to just create possible combinations in your mind. You will easily see that you can't just place a 4Ω resistor in series to get total resistance of 4Ω.
 
NOT the answer they were looking for :biggrin:

attachment.php?attachmentid=37545&stc=1&d=1311696710.gif
 

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try adding 2 resistors in parellel. what result you get? ... Now look what else you need to reach 4Ω ...
 

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