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Infinite Ladder Network

  1. Aug 3, 2004 #1
    The network shown (<—click on this link) is an infinite ladder of resistances (i.e., the “L-section” pattern of Rs and Rp resistances repeats indefinitely towards the right).

    Let

    Rs = 1 ohm

    and

    Rp = 6 ohms.

    What is the input resistance R (i.e., the resistance between terminals A and B)?
     
  2. jcsd
  3. Aug 3, 2004 #2

    Gokul43201

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    R(A-B) = 3 ohms ?
     
  4. Aug 3, 2004 #3

    marcus

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    I agree with Gokul

    it is an elegant problem

    [tex]x = 1 + \frac{1}{1/6 + 1/x}[/tex]
     
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