What is the equivalent resistance of this circuit?

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SUMMARY

The discussion focuses on calculating the equivalent resistance of a complex circuit using Kirchhoff's laws and delta-star transformations. Participants emphasize the importance of identifying symmetries in the circuit to simplify the analysis. A key insight shared is the technique of connecting nodes at the same potential to reduce circuit complexity. Ultimately, the application of delta-Y transformations proved effective in solving the problem.

PREREQUISITES
  • Understanding of Kirchhoff's circuit laws
  • Familiarity with delta-star (Δ-Y) transformations
  • Ability to analyze circuit symmetries
  • Basic knowledge of electrical resistance and circuit analysis
NEXT STEPS
  • Learn advanced techniques for circuit analysis using Kirchhoff's laws
  • Study delta-star transformations in depth
  • Explore circuit symmetry and its applications in simplifying complex circuits
  • Practice problems involving equivalent resistance calculations in various configurations
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing and simplifying electrical circuits.

  • #31
Pranav-Arora said:
I know its too late to reply to this thread now. I thought instead of creating a new thread, I will complete this one.

Thanks ehild, your trick was really helpful for the first question. :smile:

I gave a try to the second question but got stuck at the last step. The circuit is symmetrical about the line AB so I folded it and transformed it to as shown in the attachment. Now I am unable to proceed ahead. :(

EDIT: I have figured it out. It was easy once I applied the delta-Y transform. Thanks once again. :smile:
Yes.

There is a Δ with three equal resistances. That's easy to convert to a Y .
 

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