Bridge circuits - just need help with this notation

Discussion in 'Homework Help' started by galway, Jul 9, 2007.

  1. galway

    Thread Starter New Member

    Jul 9, 2007
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    I'm studying for my PE (licensing) exam, and I need help with this problem. I don't need help solving it (at least not yet), just with the way it's drawn. I've never seen a circuit with arrows coming out of the nodes like this. I'm guessing that they're supposed to be currents entering or exiting the nodes, but I was hoping someone here would know for sure. I'm supposed to be solving for the current across R5, if that helps any.

    Thanks for any help!

    [​IMG]
     
  2. JoeJester

    AAC Fanatic!

    Apr 26, 2005
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    I couldn't access your pic. If it's small enough, just upload it on the forums.
     
  3. thingmaker3

    Retired Moderator

    May 16, 2005
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  4. galway

    Thread Starter New Member

    Jul 9, 2007
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    Sorry about the pic, I've attached a slightly modified version.

    So taking the sources and sinks, I'm supposed to use Kirchoff's Law to solve for the current across the load. Note that the bridge isn't balanced.

    @A: 100 - I1 + I4 + I5 = 0
    @B: -20 + I1 - I2 = 0
    @C: -50 + I2 - I3 - I4 = 0
    @D: ID + I3 - I5 = 0

    If I assume that all of the sinks are going to the same place, then ID would equal 30A, but that still leaves me with 5 unknowns and only 4 equations. What am I missing?
     
  5. galway

    Thread Starter New Member

    Jul 9, 2007
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    Anyone? :(
     
  6. recca02

    Senior Member

    Apr 2, 2007
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    see if this gives u independent equations:
    express currents in terms of voltages at nodes.
    u might get equations something like (R1I1+R2I2)/R5 = I5;
    see if this helps.

    1 more thing Id shud be 30A since no accumulation of charge takes place in the bridge.
     
  7. techroomt

    Senior Member

    May 19, 2004
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    galway - interesting problem. don't think i can help you other then i think
    equation c should read: I2 - 50 - I3 - I5 = 0
    equation d should read : ID + I4 - I3 = 0

    how do you start variable elimination? multiple loop equations?
     
  8. galway

    Thread Starter New Member

    Jul 9, 2007
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    Thanks for the suggestions, I'll try them this weekend.
     
  9. recca02

    Senior Member

    Apr 2, 2007
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    post if u do get/(or not get) answer along wit doubts.
    as in my earlier post u wud get your 5th equation from the idea that voltage at two points is same for different branches.
     
  10. hgmjr

    Moderator

    Jan 28, 2005
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    The condition for a balanced bridge is for I5 = 0.

    How about setting I5 = 0, then you will have four equations and four unknowns.

    I tried this approach and was able to arrive at ID = 30 amps.

    I guess this is the same thing as saying that the fifth equation in the mix is I5 = 0. This equality is dictated by the goal of balancing the bridge circuit.

    hgmjr
     
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