# Calculation of equivalent resistance

1. Sep 13, 2017 at 5:03 AM

### Abhijit

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.

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

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Last edited: Sep 13, 2017 at 5:14 AM
2. Sep 13, 2017 at 5:47 AM

### Staff: Mentor

There is much more symmetry to exploit.

3. Sep 13, 2017 at 6:45 AM

### Abhijit

Thanks, mfb. I finally got the answer after three folds.

4. Sep 13, 2017 at 11:12 AM

### conscience

Hello ,

This is quite an interesting problem .

Is equivalent resistance 6 Ohm ?

5. Sep 14, 2017 at 4:12 AM

### Abhijit

Hi Conscience,

Yes. you're right. The answer is 6 ohm.