How to calculate effective resistance?

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Homework Help Overview

The discussion revolves around calculating effective resistance in two different resistor configurations, specifically between points X and Y, and A and D. The context includes the application of various electrical principles and laws.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore different methods for calculating effective resistance, including resistance reduction and the application of Ohm's Law and Kirchhoff's Voltage Law. Some question the validity of using ordinary resistance reduction techniques, while others suggest using superposition and linear algebra.

Discussion Status

There are multiple interpretations of the problem, with participants offering different approaches and questioning the complexity of the configurations. Some guidance has been provided regarding the use of specific electrical laws, but no consensus has been reached on a definitive method.

Contextual Notes

Participants mention the complexity of the circuits and the potential use of a Wheatstone bridge configuration, indicating that assumptions about the circuit layout may be influencing their reasoning.

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Homework Statement


There are two images:-
Resistance- Calculate effective resistance between X and Y
Resistance1- Calculate effective resistance between A and D



The Attempt at a Solution



Resistance- I don't think any current passes through the 20 ohm resistor so it seems 10 ohm to me. what do you say?

Resistance1- is it right??
10+10+(1/(2/20))
=30 ohm?
 

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I don't think you can solve these with ordinary resistance reduction, at least it is too complicated for me to try. I used ohm's law, kirchhoffs voltage law and constraints. You know that the if you take any loop that the total voltage is zero, and when all the voltage loops are accounted for you can use linear algebra to solve for the system.
 
Mindscrape said:
I don't think you can solve these with ordinary resistance reduction, at least it is too complicated for me to try. I used ohm's law, kirchhoffs voltage law and constraints. You know that the if you take any loop that the total voltage is zero, and when all the voltage loops are accounted for you can use linear algebra to solve for the system.

I will be glad if you explain to me what you want to convey...
 
Its simply a wheatstone bridge redrawn ...
 
1.apply superposition theroem
2.u will egt current and potential difference across the (upper and lower) ,and the (first and last) resistor are the same .
3 [tex]10 \Omega[/tex]
 

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