What is the Total Resistance of an Infinite Network of Resistors?

[jwes]

Homework Statement

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)

Homework Equations

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 :)

 

[Dick]

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