Series/Parallel Resistor Circuits (Diagonal Resistor)

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Discussion Overview

The discussion revolves around a homework problem involving a circuit with resistors, specifically focusing on the configuration of a diagonal 6 Ohm resistor and its relationship with other resistors in the circuit. Participants explore methods for calculating equivalent resistance in series and parallel arrangements.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant expresses confusion about the diagonal 6 Ohm resistor and its parallel connections, initially calculating an equivalent resistance of 9.6 Ohms.
  • Another participant suggests isolating resistors and redrawing the circuit to better understand the connections, specifically mentioning R3 and R4.
  • A later reply indicates that the participant found the equivalent resistance to be 5 Ohms, detailing their approach of configuring the circuit and calculating resistances in parallel.
  • Participants share circuit diagrams to illustrate their reasoning and calculations, but there is no consensus on the correct approach or final answer.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct equivalent resistance value, with one participant asserting an answer of 9.6 Ohms and another later claiming it to be 5 Ohms. The discussion reflects uncertainty and differing methods of analysis.

Contextual Notes

Participants mention using Kirchhoff's laws and the importance of understanding resistor configurations, but there are unresolved assumptions regarding the connections and calculations involved in the circuit.

spaffy_carrot
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Homework Statement


http://i.gyazo.com/c6b73ca3a53b7d36bce59a0aa5009d27.png

Homework Equations


Kirchhoff's Current and Voltage Laws, Resistors in parallel and in Series.

The Attempt at a Solution


The main thing confusing me is the diagonal 6 Ohms, not too sure what it is parallel too and how to add them, however the answer i did achieve was adding the 10, 6 and 3 in parallel and finally adding the 8 which gives an answer of 9.6 recurring Ohms, however within my lecture, a person answered the problem as 5 ohms and the lecturer said he was correct, this is mainly just confusion on my part.
 
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spaffy_carrot said:

Homework Statement


http://i.gyazo.com/c6b73ca3a53b7d36bce59a0aa5009d27.png

Homework Equations


Kirchhoff's Current and Voltage Laws, Resistors in parallel and in Series.

The Attempt at a Solution


The main thing confusing me is the diagonal 6 Ohms, not too sure what it is parallel too and how to add them, however the answer i did achieve was adding the 10, 6 and 3 in parallel and finally adding the 8 which gives an answer of 9.6 recurring Ohms, however within my lecture, a person answered the problem as 5 ohms and the lecturer said he was correct, this is mainly just confusion on my part.

For simple circuits such as this one, it helps to isolate a couple of resistors at a time, rather than trying to figure out how all of the resistors connect with one another at once.

For this circuit, first look at R3 and R4. How are these two resistors connected with respect to one another?

It also helps to redraw the circuit, keeping in mind to preserve the connections of the resistors with one another, as you progress.
 
SteamKing said:
For simple circuits such as this one, it helps to isolate a couple of resistors at a time, rather than trying to figure out how all of the resistors connect with one another at once.

For this circuit, first look at R3 and R4. How are these two resistors connected with respect to one another?

It also helps to redraw the circuit, keeping in mind to preserve the connections of the resistors with one another, as you progress.
Thanks a lot, just found the answer to be 5,

what I did was configure the circuit like so http://i.gyazo.com/6d2a8e8d117cd4be1ea9d53fde71e8fb.png

calculate the resisatnce in parallel to reduce the circuit basically to http://i.gyazo.com/e8a352411f710659b0df79bb98191096.png

which is also the same as http://i.gyazo.com/d27b9e7cc22cf9c63e836dcfa03d8ebe.png

which equals a total of 5 ohms, was this deduction the correct way to approach?
 

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