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Network Theory Problem do help !

  1. Feb 16, 2012 #1
    1. The problem statement, all variables and given/known data
    Va - Vb = 6 Volts
    Calculate Vc - Vd = ?
    The circuit diagram is shown below :-

    All resistances are equal to "R" as shown in fig. except for 1 ohm and 2 ohm resisters.
    Two voltage sources 10V and 5V are given and a current source in parallel to 1 ohm resistor.




    2. Relevant equations



    3. The attempt at a solution:
    I thought of using KCl and nodal analysis method but the equations became quite complex.
    Though i thought that the current flowing through 2 ohm resistor will be equal to current flowing in branch connecting Vc and Vd that will be 3 ampere using KCL.
    Thus using kcl at node "M" current through 1 ohm resistor will be 5 ampere and thus voltage drop equals "5 volts = Vd - Vc". Therefore Vc - Vd equals -5 volts.

    Am i doing it right and is there any other method to solve this question ?


     

    Attached Files:

  2. jcsd
  3. Feb 16, 2012 #2

    gneill

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    Staff: Mentor

    Your reasoning and results are both correct. Well done.
     
  4. Feb 16, 2012 #3
    Thanks. But is there any other method to solve this problem ?
     
  5. Feb 16, 2012 #4

    gneill

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    Staff: Mentor

    Well, even if you simplified the left and right portions of the network and wrote KVL and KCL equations, it would probably boil down (mathematically) to the same thing -- things would cancel here and there to leave you to draw the same conclusions.
     
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