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Infinite network of Resistors

  1. Sep 11, 2008 #1
    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. jcsd
  3. Sep 11, 2008 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

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