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Homework Help: Reducing all circuit resistors to only parallel and series?

  1. Jan 22, 2017 #1
    1. The problem statement, all variables and given/known data
    The problem from the textbook is:

    Is it possible to connect resistors together in a way that cannot be reduced to some combination of series and parallel combinations?

    2. Relevant equations
    V = IR
    kirchhoff's current law
    kirchhoff's loop law

    3. The attempt at a solution
    I am completely lost as to where to begin. My intuition tells me that if there is only 1 voltage source, the answer would be no, all resistor combinations can be reduced to a single equivalent resistor(I do not know whether this statement is true or not). However, if the voltage source becomes more than 1 at different locations of the circuit, I do not know how this will effect the answer.
  2. jcsd
  3. Jan 22, 2017 #2


    User Avatar

    Staff: Mentor

    Welcome tpo the PF.

    I think that the classic infinite cube of resistors cannot be reduced. What have you found in your Google searches so far?
  4. Jan 22, 2017 #3
    Thankyou for the heart warming welcome!

    I managed to find the answer for this question on chegg, and it appears to be a yes. Unfortunately I do not have an account and therefore cannot see how they proved it.

    I believe the Resistor Cube you suggested also answers the question, though I need to dig in a little deeper to understand how that one works.
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