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Mister Resistor (Posted on 2006-11-03) Difficulty: 2 of 5
There is an infinite ladder-shaped grid of 1Ω resistors connecting adjacent nodes as follows:

What is the electrical resistance between (a) and (b)? Note: in the image, every resistor is 1Ω.

  Submitted by Larry    
Rating: 4.6667 (12 votes)
Solution: (Hide)
This was an old problem from college Physics, but there are many references to it all over the internet.


The resistance between (a) and (b) is:
(1 + sqrt(3)) Ohms

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