How do I know what's in series and what's in parallel in this circuit?

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Discussion Overview

The discussion revolves around identifying whether resistances in a given circuit are in series or parallel. Participants explore various methods and approaches to analyze the circuit, including the application of Kirchhoff's laws and specific circuit configurations like Wheatstone bridges and Y-Delta transformations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant expresses uncertainty about applying methods to determine the configuration of resistances in the circuit.
  • Another participant suggests that simple classifications of series or parallel may not be sufficient and recommends using Kirchhoff's laws for analysis.
  • A participant identifies a Wheatstone bridge configuration within the circuit and notes the role of an unmarked resistor.
  • Some participants mention that if certain resistors are equal (R4=R5 and R2=R3), the analysis simplifies significantly.
  • There is a suggestion that all resistors in the circuit may have the same resistance, which could further simplify the analysis.
  • One participant introduces the concept of a Y-arrangement within a Delta-arrangement and discusses the possibility of converting between these configurations.

Areas of Agreement / Disagreement

Participants express varying opinions on the classification of the circuit elements, with some agreeing on the complexity of the arrangement and the usefulness of specific methods, while others highlight the existence of alternative configurations. No consensus is reached on a definitive approach to the problem.

Contextual Notes

Participants note that the circuit's analysis may depend on specific conditions, such as equal resistances, and that the presence of complex arrangements like Wheatstone bridges and Y-Delta transformations adds to the difficulty of classification.

(Marko)
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I've found many methods on how to know whether resistances are in parallel or in series but I don't know how to apply any of them on this one
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tmp_27980-New Doc 2_1-349246184.jpg
 
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Hi and welcome to PF.
I think that this is an example of a circuit in which the simple classification of series or parallel doesn't help when trying to analyse it. You can apply Kirchoff's laws to solve such problems and they do not use names like series or parallel - they just use nodes and loops. (I don't know whether or not you have come across Mr K, yet but he can be very useful)
http://www.allaboutcircuits.com/vol_1/chpt_10/13.html how such arrays can be analysed, using the transforms provided in it - so you don't need to use Kirchoff for those straightforward arrangements..
 
I notice that R2 through R5 forms a wheatstone bridge circuit with R1 in parallel with it. The unmarked resistor is where the meter or null indicator would normally go.
 
I've found many methods on how to know whether resistances are in parallel or in series but I don't know how to apply any of them on this
As has been stated, there is series, there is parallel, and then there is other. :)

The arrangement shown becomes very easy to analyze if you are told that R4=R5 and R2=R3. Under those conditions you can completely overlook the resistor which when labelling you already seem to have overlooked. :w

It is a favourite of examiners to use a 5 resistor arrangement like this on a test paper, and give it that simplifying condition without highlighting having done so, therefore it's in your interest to always be alert to that.
 
Last edited:
NascentOxygen said:
As has been stated, there is series, there is parallel, and then there is other. :)

The arrangement shown becomes very easy to analyze if you are told that R4=R5 and R2=R3. Under those conditions you can completely overlook the resistor which when labelling you already seem to have overlooked. :w

It is a favourite of examiners to use a 5 resistor arrangement like this on a test paper, and give it that simplifying condition without highlighting having done so, therefore it's in your interest to always be alert to that.
I forgot to mention that it said that all resistors have the same resistance
 
Can't add much to this discussion except to confirm that there is "other". :)
 
(Marko) said:
I forgot to mention that it said that all resistors have the same resistance
Okay! http://deephousepage.com/smilies/thumb.gif
 
Last edited by a moderator:
Hi,
It looks to me like you have a Y-arrangement inside a Delta-arrangement. You could tackle this by say, converting the Y to a Delta and then you get two Deltas 'on top of each other', i.e. in parallel.

Here are the details on Y-Delta transforms:
http://en.wikipedia.org/wiki/Y-Δ_transform
 

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