Another circuit diagram simplifying question (harder)

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Homework Help Overview

The discussion revolves around finding the net resistance in a circuit diagram where the battery is positioned in the middle, creating multiple paths for current. Participants are exploring the application of Kirchhoff's laws and the simplification of resistors in the circuit.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss using Kirchhoff's rules to relate to resistance and express conservation of charge and energy. There are attempts to simplify the circuit and questions about how to proceed with the calculations, particularly with the battery's placement.

Discussion Status

Some participants have provided guidance on simplifying the circuit and applying Kirchhoff's laws, while others express uncertainty about their calculations and seek further clarification. There is an ongoing exploration of different interpretations of the circuit setup.

Contextual Notes

Participants mention specific resistor values and configurations, such as combining resistors in series and parallel, but there is a lack of consensus on the correct approach to finding the net resistance given the circuit's complexity.

F|234K
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here's the problem

i want to find the net resistance. the only problem i think i have is that i don't know how to change the diagram so that the battery isn't in the middle of the circuit (i only know how to do questions where the battery is connected like a single complete path, which this particular problem sort of has 2 paths).
 
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It's easy and starightforexard to calculate the substitution resitance for the triangle on the right hand side from the battery right? Once you have done that you will need to apply Kirchhoff's laws expressing the conservation of charge and energy.

The battery can be in the middle, that should not be a problem

regards
marlon
 
i have thought of that : using kirchhoffs rules to find the net resistance. but i have no idea how the rules relates to resistance.
 
F|234K said:
i have thought of that : using kirchhoffs rules to find the net resistance. but i have no idea how the rules relates to resistance.

The conservation of energy requires that the sum of all potentials are zero in each chain. Then use Ohm's law to bring the resistance. it will work like that. Don't forget to apply conservation of charge also...

good luck

marlon
 
i think i did it the way you told me to, but then i got the wrong answer. my answer is 43.3333, but the right answer is 50...
 
can you please show me how to do it?
 
i think the diagram can be simplify into this...but can you please show me what to do next?
 
if you simplify the left side to a 120 ohm resistor, then I am pretty sure you can consider the 120 ohm and the 60 ohm on the right as a series resistor
 
Im probably wrong though. I never was good with kirschoff's rules.
 
  • #10
hm...well can you please tell what you might do FIRST in order to find the net resistance?
 
  • #11
http://www.public.asu.edu/~hyousif/circuitreduction2.JPG

Im sure of all that. What happens after that I don't know.
 
Last edited by a moderator:
  • #12
i got to the point where you got. but then i don't know how to find the net resistance when the battery is in the middle...
 
  • #13
Whosum said:
if you simplify the left side to a 120 ohm resistor, then I am pretty sure you can consider the 120 ohm and the 60 ohm on the right as a series resistor

Whosum is partly right in taking the 3 resistors on the left and noticing there are in series. Once you have that combined, notice that the right side (60ohms) is now in parallel with the left side (because they share a common node at both their ends)..

Once you combine the left side in parallel with the right, the rest should become clear..
 
  • #14
oh...i get it. thanks a lot Ouabache for your last implication. thanks very much everyone.
 

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