1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Calculation of equivalent resistance

  1. Sep 13, 2017 #1
    1. The Problem Statement

    Calculate the equivalent resistance between O and the circumference. Each wire has 24 ohm resistance and the circumference has zero resistance.
    ?temp_hash=b91f6b9349f237b1a236963a41e0fb6d.jpg

    2. Relevant equations

    Not needed.


    3. Attempt at solution
    I tried to use symmetry to solve this problem. I understand that we can break the network into half and every resistance except those on the diameter will become 12 ohm. What should I do next? View attachment 211003
     

    Attached Files:

    Last edited: Sep 13, 2017
  2. jcsd
  3. Sep 13, 2017 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    There is much more symmetry to exploit.
     
  4. Sep 13, 2017 #3
    Thanks, mfb. I finally got the answer after three folds.
     
  5. Sep 13, 2017 #4
    Hello ,

    This is quite an interesting problem .

    Is equivalent resistance 6 Ohm ?
     
  6. Sep 14, 2017 #5
    Hi Conscience,

    Yes. you're right. The answer is 6 ohm.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted