Resistance

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

 

infinite ladder of resistances
Each resistance in this infinite network is 1 ohm. The 'ladder' extends indefinitely to the right.
Find the total resistance between A and B.

You do not need to know any physics to do this problem. If you read the notes you will see how to write down equations for resistances of networks.

Published July 2007,August 2007.