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Resistors - connected in series or in parallel

  1. Jan 29, 2014 #1
    Resistors -- connected in series or in parallel

    1. The problem statement, all variables and given/known data
    The problem is asking for the currents, but I have a question about the resistors. I've been having trouble determining whether resistors are connected in series or in parallel. I've already looked at another thread in this forum about resistors, but it did not help with this situation. The circuit below is very basic, but I think it would help with more advanced circuitry if I knew about these resistors.
    c542df79a5fd2d7b7e492baa742f5c77.png


    2. Relevant equations
    NA


    3. The attempt at a solution
    I know:
    • the 40Ω and 20Ω are connected in series, and
    • the 125Ω and 50Ω are connected in parallel.

    I'm curious as to whether the 240Ω and the 60Ω (equivalent of 40Ω and 20Ω) are also connected in parallel with the 125Ω and 50Ω. And I'd like to know if there are any other resistor connections that can be simplified, or is that 2Ω just a loner?
     
  2. jcsd
  3. Jan 29, 2014 #2

    gneill

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    Staff: Mentor

    Get yourself a whack of scrap paper or a whiteboard, and each time you combine resistors (series or parallel) redraw the circuit replacing the combined resistors with a single resistor. That should help you to see new series/parallel opportunities as you go.

    If you are reducing the circuit from right to left (so, starting with the series combination of the 40 and 20 Ohm resistors that you mentioned), clearly the 2Ω resistor will eventually be in series with the "result" of the reduction of the 240-40-20 Ohm cluster. Do the reductions step by step and you'll see.
     
  4. Jan 29, 2014 #3

    NascentOxygen

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    Staff: Mentor

    It often is clearer if you think in terms of parallel and series paths. If you can find a route that allows current to flow from one end of a resistor to the [node at the] other end of that resistor, and without passing through that resistor, you have found a parallel path.

    If all current that passes through a particular resistor must also pass through another resistor, there being no alternative route, then those two resistors are in series.

    As far as the 50Ω is concerned, the 240Ω and the 60Ω form part of a parallel path, but they alone don't comprise that path, there is the 2Ω in series with them.
     
  5. Jan 30, 2014 #4

    CWatters

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    Science Advisor
    Homework Helper

    This suggestion gets my vote. Should make things very obvious for you.
     
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