Find the equivalent resistance of this circuit

  • Thread starter Thread starter zenterix
  • Start date Start date
  • Tags Tags
    Circuits
Click For Summary

Homework Help Overview

The discussion revolves around finding the equivalent resistance of a circuit composed of resistors, each with a resistance of 1 Ω. The original poster expresses confusion regarding their calculated equivalent resistance compared to a reference book's answer.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of symmetry to analyze current distribution and potential differences in the circuit. Questions arise about specific current values and the assumptions made regarding symmetry. Some participants suggest writing independent equations for the currents and using matrix methods to solve them.

Discussion Status

The discussion is active, with participants exploring various methods to approach the problem. Some have offered guidance on using symmetry and simplifying the circuit, while others question the assumptions made about current distribution and resistances. There is no explicit consensus on the correct approach or solution yet.

Contextual Notes

Participants note the complexity of the circuit and the potential for errors in algebraic manipulation. There is mention of the need for independent variables for certain resistors and the challenges posed by the circuit's symmetry.

Physics news on Phys.org
  • #32
Deli Zhang said:
This article https://delizhang.blogspot.com/2015/04/the-formula-for-equicalent-resistance.html gives a formula for calculating the equivalent resistance of an arbitrarily complex circuit, and you can get the answer by following it without having to think about it.
Very neat, but in the context of the problem in post #1, wouldn’t it be computationally more arduous than using symmetry?
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
10
Views
3K
  • · Replies 10 ·
Replies
10
Views
1K
  • · Replies 21 ·
Replies
21
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
Replies
6
Views
1K
  • · Replies 3 ·
Replies
3
Views
1K