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Infinite R-chain

  1. Jan 28, 2008 #1
    1. The problem statement, all variables and given/known data
    Consider the infinite chain of resistors shown above and suppose that each resistor in the chain has a resistance of 90 Ω. What is the resistance of a single resistor that could be connected between A and B with the same resistance as that of the infinite chain?


    2. Relevant equations
    A------R-------R--------R--->
    - - -
    R R R to infinity
    - - -
    B------R-------R--------R--->
    This is the best I could do to show the chain of resistors. It is the equivalent of a series of boxes with a resistor on each side.
    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jan 28, 2008 #2

    G01

    User Avatar
    Homework Helper
    Gold Member

    Lets start off with a somewhat easier example:

    What is the equivalent resistance of three 90 ohm resistors in series? 4? 5? Notice a pattern?
     
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