Effective resistance between two points problem

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Homework Help Overview

The discussion revolves around calculating the effective resistance between two points in a circuit involving multiple resistors arranged in a symmetric configuration. Participants explore the implications of symmetry in circuit analysis and the validity of removing certain resistors based on their positions in the circuit.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss using symmetry arguments to simplify the circuit analysis, questioning the removal of resistors based on current flow and voltage distribution. There are inquiries about the voltage at specific points in the circuit and the implications of connecting nodes together.

Discussion Status

The discussion is active, with participants providing insights and questioning each other's reasoning. Some suggest alternative approaches, such as the Delta-Star transformation, while others express uncertainty about the validity of symmetry arguments. There is a recognition of the complexity involved in determining the effective resistance and the need for careful consideration of the circuit's configuration.

Contextual Notes

Participants note the presence of two Wheatstone bridges in the circuit and discuss whether certain resistors can be ignored during analysis. There is an acknowledgment of the challenges posed by the circuit's symmetry and the need for precise values of current to fully understand the voltage distribution.

  • #31
Jahnavi said:
This is exactly how I got the answer first time in post#24 :smile:
No . I had actually employed the strategy as suggested by you when I wrote the answer in post#24 . After getting the right answer , then I tried applying Star Delta approach .

Your approach is quite admirable !

Please help me understand one thing i.e how could the middle line drawn ( to exploit symmetry ) coincide with the resistor between T and M .

I am still unsure how we could remove resistor between T and M .

Please reflect a little more on this symmetry aspect .
If the voltage is the same at T and M, then there is no current and no voltage drop across the resistor between them. So removing the resistor will not change any voltages or currents anywhere else in the circuit. Therefore, the effective resistance between A and B is the same with or without it.
 
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  • #32

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