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Superpostioning of an inpendent voltage and current source with depend

  1. Feb 15, 2013 #1
    1. The problem statement, all variables and given/known data

    3 branches, Indpendents are a 15 Volt source (left most branch) in series with a 2 ohm resistor (current that flows from left to right though this resistor is 'i delta'), Middle branch contains a 5 ohm resistor in series with a current controlled voltage source (3 ohms * i delta). The Right most branch has a 4 ohm resistor in series with a parallel configurtion of an 8 ampere source and a 8 ohm resistor (voltage across denoted as 'V0').

    Find Vo, Find i delta


    2. Relevant equations

    using a superpostioning and source transformation properties I've been able to reconfigure the rightmost branch to a voltage source of 64 volts in series with a 12 ohm resistor



    3. The attempt at a solution

    Turning off the 64 volt source and leaving the 15 volt source on:

    -15 volts+ 2ohms*(i delta) +5ohms* (i1-i2) +3ohm*(i delta)= 0 Volts (i1 and i2 are unknown currents the center branch, with the 3 ohm being the current controlled voltage source)

    -3ohm*(i delta) -5ohms( i2-i1) -12ohms*(i2)=0 Volts



    Turning off the 15 volt source and leaving the 64 volt source on:
    -3ohm*(i delta) -5ohms(i2' -i1') -12 ohms*(i2')=0 Volts

    -15 Volts +2ohms*(i delta)+ 5ohms(i1' -i2')+ 3ohm*(i delta)=0 Volts

    I end up stuck at this point
     
  2. jcsd
  3. Feb 15, 2013 #2

    gneill

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    Staff: Mentor

    Re: superpostioning of an inpendent voltage and current source with de

    It looks like you're doing mesh analysis with one source active at a time. That's fine.

    Note that iΔ flowing through the 2Ω resistor is identical to the mesh current i1. So you can make that substitution for iΔ. You should be able to determine numerical values for the mesh currents (and thus determine iΔ and Vo) for either source being active.
     
  4. Feb 15, 2013 #3
    Re: superpostioning of an inpendent voltage and current source with de

    If there was a thanks button, I just clicked it for you. Thanks for noting the correlation between the i delta and i1 currents
     
  5. Feb 16, 2013 #4
    Re: superpostioning of an inpendent voltage and current source with de

    As a followup, I decided to upload the problem with my explanation to the problem. Hope it provides help to anybody needing some guidance (and thanks again gneill)
     

    Attached Files:

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