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.

SOLUTION::

let y be the resistance of the ladder

y=1/(1+(y/1+(y/1+....)     <infinite series>

y=1/1+y

y©÷+y-1=0

y=1¡¾¡î3

Posted by Rajesh on 2006-11-09 16:37:47