# Infinite network of Resistors

1. Sep 11, 2008

### jwes

1. The problem statement, all variables and given/known data

Find the total resistance(Rt) of the infinite network.

Allright, what we have is an infinite network of resistors which i will try to make a diagram of here :

b--R1--c---R1-----R1-----R1--- so on
..........!..........!..........!
..........!..........!..........!
..........R2.......R2........R2 so on (dots are just space fillers to keep it formatted)
..........!..........!..........!
..........!..........!..........!
a---R1--d---R1-----R1-----R1-- so on

A hint says that because it is infinite the resistance at a point to the right of c and d also has R(t)

2. Relevant equations

3. The attempt at a solution

We tried a whole lot of stuff and ended up with a quadratic equation which gave us some ridiculous answer. Also tried brute force and got nowhere. Please help :)

2. Sep 11, 2008

### Dick

The hint is good. And you should get a quadratic equation. Why is your answer crazy? What did you get?