Resistance/Circuit Help Badly Needed

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Homework Help Overview

The discussion revolves around a circuit lab involving voltage and resistors, where the original poster has measured currents across each resistor and is now attempting to apply theoretical concepts learned in class to find specific currents, particularly i_4. The context includes the use of equivalent resistance and methods for calculating currents.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to relate the current across the equivalent resistance to the total current, questioning the validity of their reasoning based on measured currents. They also seek clarification on the "Ladder Method" and the "Scale Factor Method" for finding currents. Other participants suggest using Kirchhoff's laws and express confusion about the removal of a resistor in the circuit diagram.

Discussion Status

The discussion is active, with participants exploring different methods for analyzing the circuit. Some guidance has been offered regarding Kirchhoff's laws, but there is no consensus on the best approach or resolution of the original poster's confusion.

Contextual Notes

The original poster notes that they are not supposed to use Kirchhoff's Law, which may limit the methods available for solving the problem. There is also mention of the potential for misunderstanding due to the labeling of currents and resistors.

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!Resistance/Circuit Help Badly Needed!

Homework Statement



I am doing a circuit lab with the voltage and resistors shown. I have already measured the currents across each resistor, but now I need to use some of the theory that we have learned in class. Here is an image of the original circuit.

Picture1-10.png


As you can see I have reduced it to a single equivalent circuit.

Now I am working backwards to try and find the currents shown. Now keep in mind that the index for the current i may not be the same index as its respective resistor... that is, i_1 does not necessarily coincide with R_1. I realize that that is annoying, but I did not type up the lab!

Now can someone help me to just find i_4 for now. I know that the current across R_{eq} is 307.3 mA.

I also know that (working backwards) that R_{eq} was made up from R_{6}+R_{12345} which were in series with each other.

So shouldn't the current across R_{12345} be the same as the i_total ? Thus making i_4=i_total=307.3 mA

Now I am pretty sure that I am not correct in saying this (because my measure currents dictate so) but I am not sure why?

Also, it says to find the currents sing the "Ladder Method"...I am assuming the above is just that.
I also have to find the currents using the "Scale Factor Method"... can someone clue me into how to do that one? I know it has to do with making an assumption and then calculating the currents based on it and this in turn leads to a scale factor.
 
Last edited:
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Any ideas on what I am doing wrong?
 
The way i have always done it is through Kirchoffs law.. using I1=I2+I3 then replacing the terms with ohms law V=IR and in the end getting a load nice simultanius equations, one for each loop of the circuit, in your case three.

I you don't know this method, Ill explain more if needed?

The last diagram, why have you taken out the resistor?
 
Last edited:
farso said:
The way i have always done it is through Kirchoffs law.. using I1=I2+I3 then replacing the terms with ohms law V=IR and in the end getting a load nice simultanius equations, one for each loop of the circuit, in your case three.

I am not supposed to use Kirchoff's Law.
farso said:
The last diagram, why have you taken out the resistor?

Not sure what you mean. There is clearly a resistor in the last diagram. R_eq.
 

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