Effective resistance between two points problem

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The discussion revolves around solving an effective resistance problem involving a circuit with multiple nodes and resistors. Initial attempts to simplify the circuit using symmetry arguments led to confusion about the validity of removing certain resistors. Participants clarified that if two points in the circuit have the same voltage, the resistors connecting them can be eliminated without affecting the overall current flow. The delta-star transformation method was suggested as a viable approach to simplify the circuit further. Ultimately, understanding the symmetry and voltage relationships within the circuit was crucial for accurately determining the effective resistance.
  • #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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