Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Ladder Circuit Paradox

  1. Nov 12, 2007 #1
    We find the equivalent resistance(let us denote it by R) of an infinitely long ladder circuit by considering that it is equal to the same resistance in combination with one segment of the circuit. But when we equate "R" to "R" combined with two segments, will we get the previous result for all possible ladder circuits(I got it for two models. Are these the only possible?)?
     
    Last edited: Nov 12, 2007
  2. jcsd
  3. Nov 12, 2007 #2
    It's hard to talk specifics w/o looking at a circuit diagram, but in general ladder networks are modeled as an (infinite) series of circuit elements, each consisting of (a) a resistor R1 in series and (B) a resistor R2 in parallel w/ the "existing" ladder.

    Call the (effective) resistance of the "existing" ladder R.

    Now add another "link" to the ladder.

    This link will consist of R1 in series + (R2 in parallel w/ R).

    Set this equal to R, the effective resistence of the ladder.

    You can now solve for R in terms of R1 and R2.
     
  4. Nov 13, 2007 #3

    Shooting Star

    User Avatar
    Homework Helper

    Hi GPhab,

    Provide us with the diagram of at least one model.
     
  5. Oct 31, 2009 #4
    Good explanation.... but what if there is an additional resistor connecting them directly. I understand the process but not the logic behind it; how would this addition change the resistance?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Ladder Circuit Paradox
  1. Earth and Ladders (Replies: 8)

  2. Archimedes Paradox (Replies: 4)

  3. Olber's Paradox (Replies: 3)

  4. Faraday's paradox (Replies: 21)

Loading...